Search a number
-
+
157256028 = 22327735651
BaseRepresentation
bin10010101111110…
…00100101011100
3101221220102201100
421113320211130
5310224143103
623334313100
73616440246
oct1127704534
9357812640
10157256028
1180848866
12447b8790
132676c807
1416c57096
15dc145a3
hex95f895c

157256028 has 36 divisors (see below), whose sum is σ = 398092968. Its totient is φ = 52341600.

The previous prime is 157256003. The next prime is 157256053. The reversal of 157256028 is 820652751.

It is a happy number.

157256028 is a `hidden beast` number, since 1 + 5 + 72 + 560 + 28 = 666.

157256028 is digitally balanced in base 3 and base 9, because in such bases 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 (157256003) and next prime (157256053).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

157256028 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 157255983 and 157256001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25003 + ... + 30653.

It is an arithmetic number, because the mean of its divisors is an integer number (11058138).

Almost surely, 2157256028 is an apocalyptic number.

157256028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157256028 is an abundant number, since it is smaller than the sum of its proper divisors (240836940).

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

157256028 is a wasteful number, since it uses less digits than its factorization.

157256028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157256028 is about 12540.1765537811. The cubic root of 157256028 is about 539.7621586334.

It can be divided in two parts, 1572 and 56028, that added together give a square (57600 = 2402).

The spelling of 157256028 in words is "one hundred fifty-seven million, two hundred fifty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 5651 6957 9276 11302 13914 16953 22604 27828 33906 50859 67812 101718 203436 4368223 8736446 13104669 17472892 26209338 39314007 52418676 78628014 157256028