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52146432 = 2832131741
BaseRepresentation
bin1100011011101…
…1000100000000
310122010022110100
43012323010000
5101322141212
65101402400
71202144262
oct306730400
9118108410
1052146432
1127487428
1215569400
13aa5a3a0
146cd5b32
1548a0bdc
hex31bb100

52146432 has 108 divisors (see below), whose sum is σ = 162009484. Its totient is φ = 16035840.

The previous prime is 52146427. The next prime is 52146439. The reversal of 52146432 is 23464125.

52146432 is a `hidden beast` number, since 5 + 2 + 14 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 49787136 = 1536^2 + 7056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52146396 and 52146405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52146439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29082 + ... + 30822.

Almost surely, 252146432 is an apocalyptic number.

52146432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81004742).

52146432 is an abundant number, since it is smaller than the sum of its proper divisors (109863052).

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

52146432 is a wasteful number, since it uses less digits than its factorization.

52146432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1759 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 52146432 is about 7221.2486454906. The cubic root of 52146432 is about 373.6011457061.

The spelling of 52146432 in words is "fifty-two million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1741 1872 2304 2496 3328 3482 3744 4992 5223 6964 7488 9984 10446 13928 14976 15669 20892 22633 27856 29952 31338 41784 45266 55712 62676 67899 83568 90532 111424 125352 135798 167136 181064 203697 222848 250704 271596 334272 362128 407394 445696 501408 543192 668544 724256 814788 1002816 1086384 1337088 1448512 1629576 2005632 2172768 2897024 3259152 4011264 4345536 5794048 6518304 8691072 13036608 17382144 26073216 52146432