Search a number
-
+
156464256 = 2731322411
BaseRepresentation
bin10010101001101…
…11010010000000
3101220102012121110
421110313102000
5310023324011
623305323320
73606632004
oct1124672200
9356365543
10156464256
1180357a03
1244496540
1326553300
1416acc704
15db09ba6
hex9537480

156464256 has 96 divisors (see below), whose sum is σ = 450223920. Its totient is φ = 48122880.

The previous prime is 156464249. The next prime is 156464261. The reversal of 156464256 is 652464651.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63691 + ... + 66101.

Almost surely, 2156464256 is an apocalyptic number.

156464256 is a gapful number since it is divisible by the number (16) 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 156464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225111960).

156464256 is an abundant number, since it is smaller than the sum of its proper divisors (293759664).

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

156464256 is a wasteful number, since it uses less digits than its factorization.

156464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2429 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 156464256 is about 12508.5673040521. The cubic root of 156464256 is about 538.8547470314.

The spelling of 156464256 in words is "one hundred fifty-six million, four hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2411 2496 2704 4056 4822 4992 5408 7233 8112 9644 10816 14466 16224 19288 21632 28932 31343 32448 38576 57864 62686 64896 77152 94029 115728 125372 154304 188058 231456 250744 308608 376116 407459 462912 501488 752232 814918 925824 1002976 1222377 1504464 1629836 2005952 2444754 3008928 3259672 4011904 4889508 6017856 6519344 9779016 12035712 13038688 19558032 26077376 39116064 52154752 78232128 156464256