Search a number
-
+
151048656 = 24321128669
BaseRepresentation
bin10010000000011…
…01000111010000
3101112020001210200
421000031013100
5302132024111
622553255200
73512615043
oct1100150720
9345201720
10151048656
1178299100
1242704500
13253a8305
14160bcc5a
15d3da256
hex900d1d0

151048656 has 90 divisors (see below), whose sum is σ = 464703330. Its totient is φ = 45767040.

The previous prime is 151048649. The next prime is 151048679. The reversal of 151048656 is 656840151.

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 25160256 = 11220^2 + 5016^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151048656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13090 + ... + 21758.

Almost surely, 2151048656 is an apocalyptic number.

151048656 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 151048656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232351665).

151048656 is an abundant number, since it is smaller than the sum of its proper divisors (313654674).

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

151048656 is a wasteful number, since it uses less digits than its factorization.

151048656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 151048656 is about 12290.1853525486. The cubic root of 151048656 is about 532.5645917812.

The spelling of 151048656 in words is "one hundred fifty-one million, forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8669 8712 17338 17424 26007 34676 52014 69352 78021 95359 104028 138704 156042 190718 208056 286077 312084 381436 416112 572154 624168 762872 858231 1048949 1144308 1248336 1525744 1716462 2097898 2288616 3146847 3432924 4195796 4577232 6293694 6865848 8391592 9440541 12587388 13731696 16783184 18881082 25174776 37762164 50349552 75524328 151048656