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52578944 = 2711107349
BaseRepresentation
bin1100100010010…
…0101010000000
310122221021202022
43020210222000
5101430011234
65114541012
71205625245
oct310445200
9118837668
1052578944
1127752380
1215737768
13ab7c202
146da95cc
154938e2e
hex3224a80

52578944 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 23608320.

The previous prime is 52578941. The next prime is 52578959. The reversal of 52578944 is 44987525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 52578895 and 52578904.

It is not an unprimeable number, because it can be changed into a prime (52578941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150482 + ... + 150830.

Almost surely, 252578944 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 52578944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

52578944 is an abundant number, since it is smaller than the sum of its proper divisors (63089056).

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

52578944 is a wasteful number, since it uses less digits than its factorization.

52578944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 52578944 is about 7251.1339802820. The cubic root of 52578944 is about 374.6312083959.

The spelling of 52578944 in words is "fifty-two million, five hundred seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 349 352 428 698 704 856 1177 1396 1408 1712 2354 2792 3424 3839 4708 5584 6848 7678 9416 11168 13696 15356 18832 22336 30712 37343 37664 44672 61424 74686 75328 122848 149372 150656 245696 298744 410773 491392 597488 821546 1194976 1643092 2389952 3286184 4779904 6572368 13144736 26289472 52578944