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52046040 = 23351792423
BaseRepresentation
bin1100011010001…
…0100011011000
310121221012202010
43012202203120
5101310433130
65055305520
71201245504
oct306424330
9117835663
1052046040
1127418a62
121551b2a0
13aa23797
146cab304
1548810b0
hex31a28d8

52046040 has 64 divisors (see below), whose sum is σ = 157075200. Its totient is φ = 13795712.

The previous prime is 52046023. The next prime is 52046041. The reversal of 52046040 is 4064025.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 52045998 and 52046016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52046041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20269 + ... + 22691.

It is an arithmetic number, because the mean of its divisors is an integer number (2454300).

Almost surely, 252046040 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 52046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78537600).

52046040 is an abundant number, since it is smaller than the sum of its proper divisors (105029160).

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

52046040 is a wasteful number, since it uses less digits than its factorization.

52046040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 52046040 is about 7214.2941442666. The cubic root of 52046040 is about 373.3612401191.

The spelling of 52046040 in words is "fifty-two million, forty-six thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2423 2685 3580 4296 4846 5370 7160 7269 9692 10740 12115 14538 19384 21480 24230 29076 36345 48460 58152 72690 96920 145380 290760 433717 867434 1301151 1734868 2168585 2602302 3469736 4337170 5204604 6505755 8674340 10409208 13011510 17348680 26023020 52046040