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55950912 = 263443251
BaseRepresentation
bin1101010101101…
…1111001000000
310220021121020000
43111123321000
5103310412122
65315120000
71246401123
oct325337100
9126247200
1055950912
1129645826
12168a3000
13b78cc64
1476063ba
154da30ac
hex355be40

55950912 has 140 divisors (see below), whose sum is σ = 170389296. Its totient is φ = 18144000.

The previous prime is 55950907. The next prime is 55950913. The reversal of 55950912 is 21905955.

55950912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (55950913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 222787 + ... + 223037.

Almost surely, 255950912 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 55950912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85194648).

55950912 is an abundant number, since it is smaller than the sum of its proper divisors (114438384).

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

55950912 is a wasteful number, since it uses less digits than its factorization.

55950912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 55950912 is about 7480.0342245206. The cubic root of 55950912 is about 382.4744158205.

The spelling of 55950912 in words is "fifty-five million, nine hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 251 258 288 324 344 387 432 502 516 576 648 688 753 774 864 1004 1032 1161 1296 1376 1506 1548 1728 2008 2064 2259 2322 2592 2752 3012 3096 3483 4016 4128 4518 4644 5184 6024 6192 6777 6966 8032 8256 9036 9288 10793 12048 12384 13554 13932 16064 18072 18576 20331 21586 24096 24768 27108 27864 32379 36144 37152 40662 43172 48192 54216 55728 64758 72288 74304 81324 86344 97137 108432 111456 129516 144576 162648 172688 194274 216864 222912 259032 291411 325296 345376 388548 433728 518064 582822 650592 690752 777096 874233 1036128 1165644 1301184 1554192 1748466 2072256 2331288 3108384 3496932 4662576 6216768 6993864 9325152 13987728 18650304 27975456 55950912