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55407744 = 273276871
BaseRepresentation
bin1101001101011…
…1010010000000
310212021000010200
43103113102000
5103141021434
65255325200
71241646420
oct323272200
9125230120
1055407744
1129304727
1216680800
13b62c962
147504480
154ce7199
hex34d7480

55407744 has 96 divisors (see below), whose sum is σ = 182245440. Its totient is φ = 15828480.

The previous prime is 55407733. The next prime is 55407767. The reversal of 55407744 is 44770455.

55407744 is a `hidden beast` number, since 5 + 540 + 77 + 44 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 55407699 and 55407708.

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, 4629 + ... + 11499.

It is an arithmetic number, because the mean of its divisors is an integer number (1898390).

Almost surely, 255407744 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 55407744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91122720).

55407744 is an abundant number, since it is smaller than the sum of its proper divisors (126837696).

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

55407744 is a wasteful number, since it uses less digits than its factorization.

55407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 55407744 is about 7443.6378203134. The cubic root of 55407744 is about 381.2327096342.

The spelling of 55407744 in words is "fifty-five million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6871 8064 13742 20613 27484 41226 48097 54968 61839 82452 96194 109936 123678 144291 164904 192388 219872 247356 288582 329808 384776 432873 439744 494712 577164 659616 769552 865746 879488 989424 1154328 1319232 1539104 1731492 1978848 2308656 2638464 3078208 3462984 3957696 4617312 6156416 6925968 7915392 9234624 13851936 18469248 27703872 55407744