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52747920 = 24325611201
BaseRepresentation
bin1100100100110…
…1111010010000
310200020212112200
43021031322100
5102000413140
65122323200
71210231011
oct311157220
9120225480
1052747920
1127858325
12157b9500
13ac0b0b4
147011008
15496e030
hex324de90

52747920 has 120 divisors (see below), whose sum is σ = 180199032. Its totient is φ = 13824000.

The previous prime is 52747907. The next prime is 52747931. The reversal of 52747920 is 2974725.

52747920 is a `hidden beast` number, since 527 + 47 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 46457856 = 2508^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43320 + ... + 44520.

Almost surely, 252747920 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 52747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90099516).

52747920 is an abundant number, since it is smaller than the sum of its proper divisors (127451112).

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

52747920 is a wasteful number, since it uses less digits than its factorization.

52747920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 52747920 is about 7262.7763286501. The cubic root of 52747920 is about 375.0321039182.

The spelling of 52747920 in words is "fifty-two million, seven hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1201 1220 1464 1830 2196 2402 2440 2745 2928 3603 3660 4392 4804 4880 5490 6005 7206 7320 8784 9608 10809 10980 12010 14412 14640 18015 19216 21618 21960 24020 28824 36030 43236 43920 48040 54045 57648 72060 73261 86472 96080 108090 144120 146522 172944 216180 219783 288240 293044 366305 432360 439566 586088 659349 732610 864720 879132 1098915 1172176 1318698 1465220 1758264 2197830 2637396 2930440 3296745 3516528 4395660 5274792 5860880 6593490 8791320 10549584 13186980 17582640 26373960 52747920