Search a number
-
+
156561312 = 25367101241
BaseRepresentation
bin10010101010011…
…10111110100000
3101220121010202010
421111032332200
5310034430222
623311352520
73610514655
oct1125167640
9356533663
10156561312
1180413916
1244522740
132658853b
1416b15c2c
15db2880c
hex954efa0

156561312 has 96 divisors (see below), whose sum is σ = 422985024. Its totient is φ = 50688000.

The previous prime is 156561289. The next prime is 156561341. The reversal of 156561312 is 213165651.

156561312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1565613122 = 49022888830322688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 156561312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649512 + ... + 649752.

It is an arithmetic number, because the mean of its divisors is an integer number (4406094).

Almost surely, 2156561312 is an apocalyptic number.

156561312 is a gapful number since it is divisible by the number (12) 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 156561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211492512).

156561312 is an abundant number, since it is smaller than the sum of its proper divisors (266423712).

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

156561312 is a wasteful number, since it uses less digits than its factorization.

156561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 156561312 is about 12512.4462836010. The cubic root of 156561312 is about 538.9661426041.

The spelling of 156561312 in words is "one hundred fifty-six million, five hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 101 134 201 202 241 268 303 402 404 482 536 606 723 804 808 964 1072 1212 1446 1608 1616 1928 2144 2424 2892 3216 3232 3856 4848 5784 6432 6767 7712 9696 11568 13534 16147 20301 23136 24341 27068 32294 40602 48441 48682 54136 64588 73023 81204 96882 97364 108272 129176 146046 162408 193764 194728 216544 258352 292092 324816 387528 389456 516704 584184 649632 775056 778912 1168368 1550112 1630847 2336736 3261694 4892541 6523388 9785082 13046776 19570164 26093552 39140328 52187104 78280656 156561312