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55653072 = 2434128279
BaseRepresentation
bin1101010001001…
…1001011010000
310212201110122220
43110103023100
5103221344242
65304501040
71244020566
oct324231320
9125643586
1055653072
1129461a82
121677a780
13b6b7517
147569a36
154d44bec
hex35132d0

55653072 has 40 divisors (see below), whose sum is σ = 147282240. Its totient is φ = 18097920.

The previous prime is 55653061. The next prime is 55653079. The reversal of 55653072 is 27035655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55653079) 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 7 ways as a sum of consecutive naturals, for example, 12172 + ... + 16107.

It is an arithmetic number, because the mean of its divisors is an integer number (3682056).

Almost surely, 255653072 is an apocalyptic number.

It is an amenable number.

55653072 is an abundant number, since it is smaller than the sum of its proper divisors (91629168).

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

55653072 is a wasteful number, since it uses less digits than its factorization.

55653072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28331 (or 28325 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 55653072 is about 7460.0986588650. The cubic root of 55653072 is about 381.7945406100.

It can be divided in two parts, 556 and 53072, that added together give a triangular number (53628 = T327).

The spelling of 55653072 in words is "fifty-five million, six hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 28279 56558 84837 113116 169674 226232 339348 452464 678696 1159439 1357392 2318878 3478317 4637756 6956634 9275512 13913268 18551024 27826536 55653072