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157076496 = 2434196379
BaseRepresentation
bin10010101110011…
…00110000010000
3101221120022110000
421113030300100
5310202421441
623330410000
73615061653
oct1127146020
9357508400
10157076496
1180735995
1244730900
1326708b95
1416c0b89a
15dbcb2b6
hex95ccc10

157076496 has 100 divisors (see below), whose sum is σ = 478627600. Its totient is φ = 49595328.

The previous prime is 157076489. The next prime is 157076497. The reversal of 157076496 is 694670751.

It is a happy number.

157076496 is a `hidden beast` number, since 1 + 570 + 76 + 4 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (157076497) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 21435 + ... + 27813.

It is an arithmetic number, because the mean of its divisors is an integer number (4786276).

Almost surely, 2157076496 is an apocalyptic number.

157076496 is a gapful number since it is divisible by the number (16) 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 157076496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239313800).

157076496 is an abundant number, since it is smaller than the sum of its proper divisors (321551104).

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

157076496 is a wasteful number, since it uses less digits than its factorization.

157076496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 157076496 is about 12533.0162371234. The cubic root of 157076496 is about 539.5566731761.

The spelling of 157076496 in words is "one hundred fifty-seven million, seventy-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 6156 6379 8208 12312 12758 19137 24624 25516 38274 51032 57411 76548 102064 114822 121201 153096 172233 229644 242402 306192 344466 363603 459288 484804 516699 688932 727206 918576 969608 1033398 1090809 1377864 1454412 1939216 2066796 2181618 2755728 2908824 3272427 4133592 4363236 5817648 6544854 8267184 8726472 9817281 13089708 17452944 19634562 26179416 39269124 52358832 78538248 157076496