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55515456 = 263410709
BaseRepresentation
bin1101001111000…
…1100101000000
310212110110220000
43103301211000
5103202443311
65301520000
71242605433
oct323614500
9125413800
1055515456
1129378647
1216713000
13b6699a9
14753181a
154d19056
hex34f1940

55515456 has 70 divisors (see below), whose sum is σ = 164580570. Its totient is φ = 18503424.

The previous prime is 55515437. The next prime is 55515457. The reversal of 55515456 is 65451555.

55515456 is a `hidden beast` number, since 5 + 551 + 54 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 518400 = 7416^2 + 720^2 .

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 55515456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55515457) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 171 + ... + 10538.

It is an arithmetic number, because the mean of its divisors is an integer number (2351151).

Almost surely, 255515456 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 55515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82290285).

55515456 is an abundant number, since it is smaller than the sum of its proper divisors (109065114).

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

55515456 is a wasteful number, since it uses less digits than its factorization.

55515456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10733 (or 10714 counting only the distinct ones).

The product of its digits is 75000, while the sum is 36.

The square root of 55515456 is about 7450.8694794635. The cubic root of 55515456 is about 381.4795870228.

The spelling of 55515456 in words is "fifty-five million, five hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10709 21418 32127 42836 64254 85672 96381 128508 171344 192762 257016 289143 342688 385524 514032 578286 685376 771048 867429 1028064 1156572 1542096 1734858 2056128 2313144 3084192 3469716 4626288 6168384 6939432 9252576 13878864 18505152 27757728 55515456