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55954944 = 293212143
BaseRepresentation
bin1101010101110…
…0111000000000
310220021210202100
43111130320000
5103311024234
65315150400
71246415643
oct325347000
9126253670
1055954944
1129648861
12168a5400
13b791a46
147607a5a
154da4399
hex355ce00

55954944 has 60 divisors (see below), whose sum is σ = 161503056. Its totient is φ = 18650112.

The previous prime is 55954931. The next prime is 55954963. The reversal of 55954944 is 44945955.

55954944 is a `hidden beast` number, since 559 + 5 + 4 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55954944.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1464 + ... + 10679.

Almost surely, 255954944 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 55954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80751528).

55954944 is an abundant number, since it is smaller than the sum of its proper divisors (105548112).

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

55954944 is a wasteful number, since it uses less digits than its factorization.

55954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12167 (or 12148 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55954944 is about 7480.3037371486. The cubic root of 55954944 is about 382.4836030393.

The spelling of 55954944 in words is "fifty-five million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 12143 24286 36429 48572 72858 97144 109287 145716 194288 218574 291432 388576 437148 582864 777152 874296 1165728 1554304 1748592 2331456 3108608 3497184 4662912 6217216 6994368 9325824 13988736 18651648 27977472 55954944