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1425310848 = 27321327321
BaseRepresentation
bin101010011110100…
…1000010010000000
310200022222021220200
41110331020102000
510404334421343
6353233205200
750214641133
oct12475102200
93608867820
101425310848
11671607155
12339400800
131993a1300
14d742021a
15851e44d3
hex54f48480

1425310848 has 144 divisors (see below), whose sum is σ = 4441854690. Its totient is φ = 438497280.

The previous prime is 1425310837. The next prime is 1425310853. The reversal of 1425310848 is 8480135241.

1425310848 is a `hidden beast` number, since 1 + 42 + 531 + 0 + 84 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 219276864 + 1206033984 = 14808^2 + 34728^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14253108482 = 4063022026852958208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191028 + ... + 198348.

Almost surely, 21425310848 is an apocalyptic number.

1425310848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425310848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220927345).

1425310848 is an abundant number, since it is smaller than the sum of its proper divisors (3016543842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1425310848 is a wasteful number, since it uses less digits than its factorization.

1425310848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7339 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1425310848 is about 37753.2892341846. The cubic root of 1425310848 is about 1125.3903759310.

The spelling of 1425310848 in words is "one billion, four hundred twenty-five million, three hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 576 624 676 832 936 1014 1152 1248 1352 1521 1664 1872 2028 2496 2704 3042 3744 4056 4992 5408 6084 7321 7488 8112 10816 12168 14642 14976 16224 21632 21963 24336 29284 32448 43926 48672 58568 64896 65889 87852 95173 97344 117136 131778 175704 190346 194688 234272 263556 285519 351408 380692 468544 527112 571038 702816 761384 856557 937088 1054224 1142076 1237249 1405632 1522768 1713114 2108448 2284152 2474498 2811264 3045536 3426228 3711747 4216896 4568304 4948996 6091072 6852456 7423494 8433792 9136608 9897992 11135241 12182144 13704912 14846988 18273216 19795984 22270482 27409824 29693976 36546432 39591968 44540964 54819648 59387952 79183936 89081928 109639296 118775904 158367872 178163856 237551808 356327712 475103616 712655424 1425310848