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55133184 = 2103131137
BaseRepresentation
bin1101001001010…
…0010000000000
310211202001111210
43102110100000
5103103230214
65245410120
71236424101
oct322242000
9124661453
1055133184
1129137417
1216569940
13b5649b2
1474723a8
154c90b59
hex3494400

55133184 has 88 divisors (see below), whose sum is σ = 149152608. Its totient is φ = 18104320.

The previous prime is 55133179. The next prime is 55133201. The reversal of 55133184 is 48133155.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402364 + ... + 402500.

It is an arithmetic number, because the mean of its divisors is an integer number (1694916).

Almost surely, 255133184 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 55133184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74576304).

55133184 is an abundant number, since it is smaller than the sum of its proper divisors (94019424).

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

55133184 is a wasteful number, since it uses less digits than its factorization.

55133184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 55133184 is about 7425.1723212327. The cubic root of 55133184 is about 380.6019637375.

The spelling of 55133184 in words is "fifty-five million, one hundred thirty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 137 192 256 262 274 384 393 411 512 524 548 768 786 822 1024 1048 1096 1536 1572 1644 2096 2192 3072 3144 3288 4192 4384 6288 6576 8384 8768 12576 13152 16768 17536 17947 25152 26304 33536 35072 35894 50304 52608 53841 67072 70144 71788 100608 105216 107682 134144 140288 143576 201216 210432 215364 287152 402432 420864 430728 574304 861456 1148608 1722912 2297216 3445824 4594432 6891648 9188864 13783296 18377728 27566592 55133184