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52147032 = 2337595261
BaseRepresentation
bin1100011011101…
…1001101011000
310122010100021120
43012323031120
5101322201112
65101405240
71202146110
oct306731530
9118110246
1052147032
1127487923
1215569820
13aa5a742
146cd6040
1548a0e8c
hex31bb358

52147032 has 64 divisors (see below), whose sum is σ = 151545600. Its totient is φ = 14643840.

The previous prime is 52147019. The next prime is 52147033. The reversal of 52147032 is 23074125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 52146993 and 52147011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52147033) 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, 7282 + ... + 12542.

It is an arithmetic number, because the mean of its divisors is an integer number (2367900).

Almost surely, 252147032 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 52147032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75772800).

52147032 is an abundant number, since it is smaller than the sum of its proper divisors (99398568).

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

52147032 is a wasteful number, since it uses less digits than its factorization.

52147032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 52147032 is about 7221.2901894329. The cubic root of 52147032 is about 373.6025785931.

It can be divided in two parts, 5214 and 7032, that added together give a triangular number (12246 = T156).

The spelling of 52147032 in words is "fifty-two million, one hundred forty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 5261 9912 10522 15783 21044 31566 36827 42088 63132 73654 110481 126264 147308 220962 294616 310399 441924 620798 883848 931197 1241596 1862394 2172793 2483192 3724788 4345586 6518379 7449576 8691172 13036758 17382344 26073516 52147032