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55147104 = 2532419457
BaseRepresentation
bin1101001001011…
…1101001100000
310211202202121100
43102113221200
5103104201404
65245554400
71236512505
oct322275140
9124682540
1055147104
1129146921
1216575a00
13b56b12c
1474774ac
154c94d39
hex3497a60

55147104 has 72 divisors (see below), whose sum is σ = 157542840. Its totient is φ = 18298368.

The previous prime is 55147087. The next prime is 55147117. The reversal of 55147104 is 40174155.

It is a happy number.

55147104 is a `hidden beast` number, since 551 + 4 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120444 + ... + 120900.

It is an arithmetic number, because the mean of its divisors is an integer number (2188095).

Almost surely, 255147104 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 55147104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78771420).

55147104 is an abundant number, since it is smaller than the sum of its proper divisors (102395736).

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

55147104 is a wasteful number, since it uses less digits than its factorization.

55147104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55147104 is about 7426.1096140577. The cubic root of 55147104 is about 380.6339924429.

The spelling of 55147104 in words is "fifty-five million, one hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 419 457 838 914 1257 1371 1676 1828 2514 2742 3352 3656 3771 4113 5028 5484 6704 7312 7542 8226 10056 10968 13408 14624 15084 16452 20112 21936 30168 32904 40224 43872 60336 65808 120672 131616 191483 382966 574449 765932 1148898 1531864 1723347 2297796 3063728 3446694 4595592 6127456 6893388 9191184 13786776 18382368 27573552 55147104