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1427436192 = 253713212569
BaseRepresentation
bin101010100010100…
…1111001010100000
310200110222021100010
41111011033022200
510410410424232
6353350524520
750242002360
oct12505171240
93613867303
101427436192
11672828a36
1233a066740
13199966800
14d78149a0
15854b40cc
hex5514f2a0

1427436192 has 144 divisors (see below), whose sum is σ = 4637424960. Its totient is φ = 376436736.

The previous prime is 1427436181. The next prime is 1427436217. The reversal of 1427436192 is 2916347241.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1427436192.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107284 + ... + 119852.

It is an arithmetic number, because the mean of its divisors is an integer number (32204340).

Almost surely, 21427436192 is an apocalyptic number.

1427436192 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 1427436192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318712480).

1427436192 is an abundant number, since it is smaller than the sum of its proper divisors (3209988768).

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

1427436192 is a wasteful number, since it uses less digits than its factorization.

1427436192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12615 (or 12594 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1427436192 is about 37781.4265479746. The cubic root of 1427436192 is about 1125.9494712352.

The spelling of 1427436192 in words is "one billion, four hundred twenty-seven million, four hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 12569 14196 16224 18928 25138 28392 37707 37856 50276 56784 75414 87983 100552 113568 150828 163397 175966 201104 263949 301656 326794 351932 402208 490191 527898 603312 653588 703864 980382 1055796 1143779 1206624 1307176 1407728 1960764 2111592 2124161 2287558 2614352 2815456 3431337 3921528 4223184 4248322 4575116 5228704 6372483 6862674 7843056 8446368 8496644 9150232 12744966 13725348 14869127 15686112 16993288 18300464 25489932 27450696 29738254 33986576 36600928 44607381 50979864 54901392 59476508 67973152 89214762 101959728 109802784 118953016 178429524 203919456 237906032 356859048 475812064 713718096 1427436192