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55752804 = 22328917401
BaseRepresentation
bin1101010010101…
…1100001100100
310212220112110200
43110223201210
5103233042204
65310550500
71244614422
oct324534144
9125815420
1055752804
112951a9a8
1216808430
13b720a33
147594112
154d64539
hex352b864

55752804 has 36 divisors (see below), whose sum is σ = 142522380. Its totient is φ = 18374400.

The previous prime is 55752803. The next prime is 55752833. The reversal of 55752804 is 40825755.

It is a happy number.

55752804 is a `hidden beast` number, since 5 + 575 + 2 + 80 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21178404 + 34574400 = 4602^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55752803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5497 + ... + 11904.

It is an arithmetic number, because the mean of its divisors is an integer number (3958955).

Almost surely, 255752804 is an apocalyptic number.

It is an amenable number.

55752804 is an abundant number, since it is smaller than the sum of its proper divisors (86769576).

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

55752804 is a wasteful number, since it uses less digits than its factorization.

55752804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17495 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55752804 is about 7466.7800289013. The cubic root of 55752804 is about 382.0224669954.

It can be divided in two parts, 557 and 52804, that added together give a square (53361 = 2312).

The spelling of 55752804 in words is "fifty-five million, seven hundred fifty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 17401 34802 52203 69604 104406 156609 208812 313218 626436 1548689 3097378 4646067 6194756 9292134 13938201 18584268 27876402 55752804