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52259648 = 267157743
BaseRepresentation
bin1100011101011…
…0101101000000
310122100001202112
43013112231000
5101334302043
65104034452
71203125330
oct307265500
9118301675
1052259648
11275544a1
1215602a28
13aa99a8c
146d250c0
1548c4518
hex31d6b40

52259648 has 56 divisors (see below), whose sum is σ = 119432832. Its totient is φ = 22224384.

The previous prime is 52259573. The next prime is 52259659. The reversal of 52259648 is 84695225.

It is a tau number, because it is divible by the number of its divisors (56).

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, 69965 + ... + 70707.

Almost surely, 252259648 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 52259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59716416).

52259648 is an abundant number, since it is smaller than the sum of its proper divisors (67173184).

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

52259648 is a wasteful number, since it uses less digits than its factorization.

52259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 909 counting only the distinct ones).

The product of its digits is 172800, while the sum is 41.

The square root of 52259648 is about 7229.0834827107. The cubic root of 52259648 is about 373.8713275225.

The spelling of 52259648 in words is "fifty-two million, two hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 157 224 314 448 628 743 1099 1256 1486 2198 2512 2972 4396 5024 5201 5944 8792 10048 10402 11888 17584 20804 23776 35168 41608 47552 70336 83216 116651 166432 233302 332864 466604 816557 933208 1633114 1866416 3266228 3732832 6532456 7465664 13064912 26129824 52259648