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157038492 = 223132414177
BaseRepresentation
bin10010101110000…
…11011110011100
3101221111101022110
421113003132130
5310200212432
623325514020
73614543112
oct1127033634
9357441273
10157038492
118070a386
1244712910
13266c47b0
1416bdbab2
15dbbedcc
hex95c379c

157038492 has 48 divisors (see below), whose sum is σ = 396341792. Its totient is φ = 48107520.

The previous prime is 157038463. The next prime is 157038499. The reversal of 157038492 is 294830751.

It is a super-2 number, since 2×1570384922 = 49322175939268128, which contains 22 as substring.

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 157038492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157038499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35508 + ... + 39684.

Almost surely, 2157038492 is an apocalyptic number.

157038492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 12531×12532.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157038492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198170896).

157038492 is an abundant number, since it is smaller than the sum of its proper divisors (239303300).

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

157038492 is a wasteful number, since it uses less digits than its factorization.

157038492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 157038492 is about 12531.4999900251. The cubic root of 157038492 is about 539.5131551742.

The spelling of 157038492 in words is "one hundred fifty-seven million, thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3133 4177 6266 8354 9399 12531 12532 16708 18798 25062 37596 50124 54301 108602 162903 217204 325806 651612 1006657 2013314 3019971 4026628 6039942 12079884 13086541 26173082 39259623 52346164 78519246 157038492