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52449024 = 283312203
BaseRepresentation
bin1100100000010…
…0111100000000
310122200200112110
43020010330000
5101411332044
65112055320
71204544415
oct310047400
9118620473
1052449024
1127673801
1215694540
13ab35034
146d7410c
1549106b9
hex3204f00

52449024 has 72 divisors (see below), whose sum is σ = 144159232. Its totient is φ = 16911360.

The previous prime is 52449013. The next prime is 52449041. The reversal of 52449024 is 42094425.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 52448982 and 52449000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22707 + ... + 24909.

Almost surely, 252449024 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 52449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72079616).

52449024 is an abundant number, since it is smaller than the sum of its proper divisors (91710208).

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

52449024 is a wasteful number, since it uses less digits than its factorization.

52449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 52449024 is about 7242.1698405934. The cubic root of 52449024 is about 374.3223887633.

It can be divided in two parts, 5244 and 9024, that multiplied together give a triangular number (47321856 = T9728).

The spelling of 52449024 in words is "fifty-two million, four hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2203 2976 3968 4406 5952 6609 7936 8812 11904 13218 17624 23808 26436 35248 52872 68293 70496 105744 136586 140992 204879 211488 273172 281984 409758 422976 546344 563968 819516 845952 1092688 1639032 1691904 2185376 3278064 4370752 6556128 8741504 13112256 17483008 26224512 52449024