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55125920 = 2551133049
BaseRepresentation
bin1101001001001…
…0011110100000
310211201200112202
43102102132200
5103103012140
65245312332
71236363653
oct322223640
9124650482
1055125920
1129131a13
12165656a8
13b5615b5
14746d89a
154c8d915
hex34927a0

55125920 has 48 divisors (see below), whose sum is σ = 131430600. Its totient is φ = 21848064.

The previous prime is 55125913. The next prime is 55125937. The reversal of 55125920 is 2952155.

It can be written as a sum of positive squares in 4 ways, for example, as 15335056 + 39790864 = 3916^2 + 6308^2 .

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 7 ways as a sum of consecutive naturals, for example, 16556 + ... + 19604.

Almost surely, 255125920 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 55125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65715300).

55125920 is an abundant number, since it is smaller than the sum of its proper divisors (76304680).

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

55125920 is a wasteful number, since it uses less digits than its factorization.

55125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 55125920 is about 7424.6831582230. The cubic root of 55125920 is about 380.5852477666.

The spelling of 55125920 in words is "fifty-five million, one hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3049 3616 4520 6098 9040 12196 15245 18080 24392 30490 48784 60980 97568 121960 243920 344537 487840 689074 1378148 1722685 2756296 3445370 5512592 6890740 11025184 13781480 27562960 55125920