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52430784 = 263725573
BaseRepresentation
bin1100100000000…
…0011111000000
310122122202111220
43020000133000
5101410241114
65111435040
71204440300
oct310003700
9118582456
1052430784
112766102a
1215685a80
13ab29943
146d6b600
15490a0a9
hex32007c0

52430784 has 84 divisors (see below), whose sum is σ = 161400744. Its totient is φ = 14977536.

The previous prime is 52430779. The next prime is 52430801. The reversal of 52430784 is 48703425.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×524307842 = 5497974221709312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6622 + ... + 12194.

Almost surely, 252430784 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 52430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80700372).

52430784 is an abundant number, since it is smaller than the sum of its proper divisors (108969960).

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

52430784 is a wasteful number, since it uses less digits than its factorization.

52430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 52430784 is about 7240.9104399930. The cubic root of 52430784 is about 374.2789915020.

The spelling of 52430784 in words is "fifty-two million, four hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 5573 9408 11146 16719 22292 33438 39011 44584 66876 78022 89168 117033 133752 156044 178336 234066 267504 273077 312088 356672 468132 535008 546154 624176 819231 936264 1070016 1092308 1248352 1638462 1872528 2184616 2496704 3276924 3745056 4369232 6553848 7490112 8738464 13107696 17476928 26215392 52430784