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1355276992 = 261719531237
BaseRepresentation
bin101000011000111…
…1110001011000000
310111110012012112011
41100301332023000
510233422330432
6342252142304
745404443606
oct12061761300
93443165464
101355276992
11636022733
12319a67994
13187a20264
14cbdcd876
157dead847
hex50c7e2c0

1355276992 has 112 divisors (see below), whose sum is σ = 3056473440. Its totient is φ = 592330752.

The previous prime is 1355276971. The next prime is 1355276999. The reversal of 1355276992 is 2996725531.

It is not an unprimeable number, because it can be changed into a prime (1355276999) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1094998 + ... + 1096234.

Almost surely, 21355276992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355276992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528236720).

1355276992 is an abundant number, since it is smaller than the sum of its proper divisors (1701196448).

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

1355276992 is a wasteful number, since it uses less digits than its factorization.

1355276992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1328 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 49.

The square root of 1355276992 is about 36814.0868690234. The cubic root of 1355276992 is about 1106.6476221300.

The spelling of 1355276992 in words is "one billion, three hundred fifty-five million, two hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 53 64 68 76 106 136 152 212 272 304 323 424 544 608 646 848 901 1007 1088 1216 1237 1292 1696 1802 2014 2474 2584 3392 3604 4028 4948 5168 7208 8056 9896 10336 14416 16112 17119 19792 20672 21029 23503 28832 32224 34238 39584 42058 47006 57664 64448 65561 68476 79168 84116 94012 131122 136952 168232 188024 262244 273904 336464 376048 399551 524488 547808 672928 752096 799102 1048976 1095616 1114537 1245659 1345856 1504192 1598204 2097952 2229074 2491318 3196408 4195904 4458148 4982636 6392816 8916296 9965272 12785632 17832592 19930544 21176203 25571264 35665184 39861088 42352406 71330368 79722176 84704812 169409624 338819248 677638496 1355276992