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52995072 = 2103131327
BaseRepresentation
bin1100101000101…
…0010000000000
310200201102120110
43022022100000
5102031320242
65131511320
71212310404
oct312122000
9120642513
1052995072
1127a06a89
12158b8540
13ac96740
147077104
1549bc39c
hex328a400

52995072 has 88 divisors (see below), whose sum is σ = 152231296. Its totient is φ = 16293888.

The previous prime is 52995053. The next prime is 52995073. The reversal of 52995072 is 27059925.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 52995072.

It is not an unprimeable number, because it can be changed into a prime (52995073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39273 + ... + 40599.

Almost surely, 252995072 is an apocalyptic number.

52995072 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 52995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76115648).

52995072 is an abundant number, since it is smaller than the sum of its proper divisors (99236224).

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

52995072 is a wasteful number, since it uses less digits than its factorization.

52995072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 52995072 is about 7279.7714249831. The cubic root of 52995072 is about 375.6169329379.

The spelling of 52995072 in words is "fifty-two million, nine hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1327 1536 1664 2496 2654 3072 3328 3981 4992 5308 6656 7962 9984 10616 13312 15924 17251 19968 21232 31848 34502 39936 42464 51753 63696 69004 84928 103506 127392 138008 169856 207012 254784 276016 339712 414024 509568 552032 679424 828048 1019136 1104064 1358848 1656096 2038272 2208128 3312192 4076544 4416256 6624384 8832512 13248768 17665024 26497536 52995072