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157254968 = 23131579631
BaseRepresentation
bin10010101111110…
…00010100111000
3101221220101021002
421113320110320
5310224124333
623334304132
73616434203
oct1127702470
9357811232
10157254968
1180847a92
12447b8048
132676c1a0
1416c5693a
15dc140e8
hex95f8538

157254968 has 32 divisors (see below), whose sum is σ = 319589760. Its totient is φ = 72109440.

The previous prime is 157254949. The next prime is 157254983. The reversal of 157254968 is 869452751.

It is a happy number.

157254968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1572549683 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11513 + ... + 21143.

It is an arithmetic number, because the mean of its divisors is an integer number (9987180).

Almost surely, 2157254968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157254968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159794880).

157254968 is an abundant number, since it is smaller than the sum of its proper divisors (162334792).

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

157254968 is a wasteful number, since it uses less digits than its factorization.

157254968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9807 (or 9803 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 157254968 is about 12540.1342895521. The cubic root of 157254968 is about 539.7609458570.

The spelling of 157254968 in words is "one hundred fifty-seven million, two hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 9631 16328 19262 38524 77048 125203 250406 500812 1001624 1512067 3024134 6048268 12096536 19656871 39313742 78627484 157254968