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52237120 = 2651329433
BaseRepresentation
bin1100011101000…
…1001101000000
310122021220212011
43013101031000
5101333041440
65103342304
71203002545
oct307211500
9118256764
1052237120
1127539581
12155b1994
13aa8c750
146d1abcc
1548bc9ea
hex31d1340

52237120 has 112 divisors (see below), whose sum is σ = 138897360. Its totient is φ = 18579456.

The previous prime is 52237103. The next prime is 52237123. The reversal of 52237120 is 2173225.

It can be written as a sum of positive squares in 8 ways, for example, as 10969344 + 41267776 = 3312^2 + 6424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52237091 and 52237100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52237123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120424 + ... + 120856.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 252237120 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 52237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

52237120 is an abundant number, since it is smaller than the sum of its proper divisors (86660240).

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

52237120 is a wasteful number, since it uses less digits than its factorization.

52237120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 52237120 is about 7227.5251642592. The cubic root of 52237120 is about 373.8175971962.

The spelling of 52237120 in words is "fifty-two million, two hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 64 65 80 104 116 130 145 160 208 232 260 290 320 377 416 433 464 520 580 754 832 866 928 1040 1160 1508 1732 1856 1885 2080 2165 2320 3016 3464 3770 4160 4330 4640 5629 6032 6928 7540 8660 9280 11258 12064 12557 13856 15080 17320 22516 24128 25114 27712 28145 30160 34640 45032 50228 56290 60320 62785 69280 90064 100456 112580 120640 125570 138560 163241 180128 200912 225160 251140 326482 360256 401824 450320 502280 652964 803648 816205 900640 1004560 1305928 1632410 1801280 2009120 2611856 3264820 4018240 5223712 6529640 10447424 13059280 26118560 52237120