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157383648 = 253460719
BaseRepresentation
bin10010110000101…
…11101111100000
3101222010220210000
421120113233200
5310242234043
623341140000
73620511312
oct1130275740
9358126700
10157383648
1180925734
124485a600
13267b5926
1416c8b7b2
15dc3c2d3
hex9617be0

157383648 has 60 divisors (see below), whose sum is σ = 462868560. Its totient is φ = 52460352.

The previous prime is 157383647. The next prime is 157383649. The reversal of 157383648 is 846383751.

157383648 is a `hidden beast` number, since 1 + 573 + 8 + 36 + 48 = 666.

157383648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157383647) and next prime (157383649).

It is a super-2 number, since 2×1573836482 = 49539225315575808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157383643) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27768 + ... + 32951.

It is an arithmetic number, because the mean of its divisors is an integer number (7714476).

Almost surely, 2157383648 is an apocalyptic number.

157383648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157383648 is an abundant number, since it is smaller than the sum of its proper divisors (305484912).

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

157383648 is an equidigital number, since it uses as much as digits as its factorization.

157383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60741 (or 60724 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 157383648 is about 12545.2639669319. The cubic root of 157383648 is about 539.9081325201.

The spelling of 157383648 in words is "one hundred fifty-seven million, three hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 60719 121438 182157 242876 364314 485752 546471 728628 971504 1092942 1457256 1639413 1943008 2185884 2914512 3278826 4371768 4918239 5829024 6557652 8743536 9836478 13115304 17487072 19672956 26230608 39345912 52461216 78691824 157383648