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1424863872 = 2734532593
BaseRepresentation
bin101010011101101…
…1011001010000000
310200022010120210000
41110323123022000
510404231120442
6353215440000
750211100035
oct12473331200
93608116700
101424863872
11671331353
12339226000
13199275a23
14d734538c
1585156d4c
hex54edb280

1424863872 has 160 divisors (see below), whose sum is σ = 4322044980. Its totient is φ = 465813504.

The previous prime is 1424863837. The next prime is 1424863889. The reversal of 1424863872 is 2783684241.

It is a happy number.

1424863872 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 8 + 638 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1385626176 + 39237696 = 37224^2 + 6264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 548208 + ... + 550800.

Almost surely, 21424863872 is an apocalyptic number.

1424863872 is a gapful number since it is divisible by the number (12) 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 1424863872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161022490).

1424863872 is an abundant number, since it is smaller than the sum of its proper divisors (2897181108).

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

1424863872 is an equidigital number, since it uses as much as digits as its factorization.

1424863872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2651 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1424863872 is about 37747.3690738838. The cubic root of 1424863872 is about 1125.2727232143.

The spelling of 1424863872 in words is "one billion, four hundred twenty-four million, eight hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 288 318 324 384 424 432 477 576 636 648 848 864 954 1152 1272 1296 1431 1696 1728 1908 2544 2592 2593 2862 3392 3456 3816 4293 5088 5184 5186 5724 6784 7632 7779 8586 10176 10368 10372 11448 15264 15558 17172 20352 20744 22896 23337 30528 31116 34344 41488 45792 46674 61056 62232 68688 70011 82976 91584 93348 124464 137376 137429 140022 165952 183168 186696 210033 248928 274752 274858 280044 331904 373392 412287 420066 497856 549504 549716 560088 746784 824574 840132 995712 1099432 1120176 1236861 1493568 1649148 1680264 2198864 2240352 2473722 2987136 3298296 3360528 3710583 4397728 4480704 4947444 6596592 6721056 7421166 8795456 8961408 9894888 11131749 13193184 13442112 14842332 17590912 19789776 22263498 26386368 26884224 29684664 39579552 44526996 52772736 59369328 79159104 89053992 118738656 158318208 178107984 237477312 356215968 474954624 712431936 1424863872