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52950960 = 24325251293
BaseRepresentation
bin1100100111111…
…1011110110000
310200122012001200
43021333132300
5102023412320
65130531200
71212034656
oct311773660
9120565050
1052950960
1127986927
1215896b00
13ac7c63a
147064dd6
1549ae290
hex327f7b0

52950960 has 120 divisors (see below), whose sum is σ = 179144784. Its totient is φ = 14016000.

The previous prime is 52950949. The next prime is 52950973. The reversal of 52950960 is 6905925.

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, 180574 + ... + 180866.

Almost surely, 252950960 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 52950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392).

52950960 is an abundant number, since it is smaller than the sum of its proper divisors (126193824).

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

52950960 is a wasteful number, since it uses less digits than its factorization.

52950960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 52950960 is about 7276.7410287848. The cubic root of 52950960 is about 375.5126854237.

The spelling of 52950960 in words is "fifty-two million, nine hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 251 293 360 502 586 720 753 879 1004 1172 1255 1465 1506 1758 2008 2259 2344 2510 2637 2930 3012 3516 3765 4016 4395 4518 4688 5020 5274 5860 6024 7032 7530 8790 9036 10040 10548 11295 11720 12048 13185 14064 15060 17580 18072 20080 21096 22590 23440 26370 30120 35160 36144 42192 45180 52740 60240 70320 73543 90360 105480 147086 180720 210960 220629 294172 367715 441258 588344 661887 735430 882516 1103145 1176688 1323774 1470860 1765032 2206290 2647548 2941720 3309435 3530064 4412580 5295096 5883440 6618870 8825160 10590192 13237740 17650320 26475480 52950960