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157154984 = 23737731039
BaseRepresentation
bin10010101110111…
…11111010101000
3101221201022002222
421113133322220
5310212424414
623332213212
73615536540
oct1127377250
9357638088
10157154984
1180789958
124476a208
132673581c
1416c2c320
15dbe468e
hex95dfea8

157154984 has 64 divisors (see below), whose sum is σ = 350937600. Its totient is φ = 64571904.

The previous prime is 157154941. The next prime is 157154989. The reversal of 157154984 is 489451751.

It is not an unprimeable number, because it can be changed into a prime (157154989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150737 + ... + 151775.

It is an arithmetic number, because the mean of its divisors is an integer number (5483400).

Almost surely, 2157154984 is an apocalyptic number.

157154984 is a gapful number since it is divisible by the number (14) 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 157154984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175468800).

157154984 is an abundant number, since it is smaller than the sum of its proper divisors (193782616).

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

157154984 is a wasteful number, since it uses less digits than its factorization.

157154984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its digits is 201600, while the sum is 44.

The square root of 157154984 is about 12536.1470954995. The cubic root of 157154984 is about 539.6465267901.

The spelling of 157154984 in words is "one hundred fifty-seven million, one hundred fifty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 37 56 73 74 146 148 259 292 296 511 518 584 1022 1036 1039 2044 2072 2078 2701 4088 4156 5402 7273 8312 10804 14546 18907 21608 29092 37814 38443 58184 75628 75847 76886 151256 151694 153772 269101 303388 307544 530929 538202 606776 1061858 1076404 2123716 2152808 2806339 4247432 5612678 11225356 19644373 22450712 39288746 78577492 157154984