Search a number
-
+
53864832 = 273729691
BaseRepresentation
bin1100110101111…
…0100110000000
310202100121122210
43031132212000
5102242133312
65202302120
71222562220
oct315364600
9122317583
1053864832
112845049a
1216057940
13b20c5a8
147222080
154adee3c
hex335e980

53864832 has 128 divisors (see below), whose sum is σ = 169401600. Its totient is φ = 14837760.

The previous prime is 53864809. The next prime is 53864843. The reversal of 53864832 is 23846835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77607 + ... + 78297.

It is an arithmetic number, because the mean of its divisors is an integer number (1323450).

Almost surely, 253864832 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 53864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84700800).

53864832 is an abundant number, since it is smaller than the sum of its proper divisors (115536768).

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

53864832 is a wasteful number, since it uses less digits than its factorization.

53864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 53864832 is about 7339.2664483584. The cubic root of 53864832 is about 377.6606792268.

The spelling of 53864832 in words is "fifty-three million, eight hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 691 696 812 896 928 1218 1344 1382 1392 1624 1856 2073 2436 2688 2764 2784 3248 3712 4146 4837 4872 5528 5568 6496 8292 9674 9744 11056 11136 12992 14511 16584 19348 19488 20039 22112 25984 29022 33168 38696 38976 40078 44224 58044 60117 66336 77392 77952 80156 88448 116088 120234 132672 140273 154784 160312 232176 240468 265344 280546 309568 320624 420819 464352 480936 561092 619136 641248 841638 928704 961872 1122184 1282496 1683276 1857408 1923744 2244368 2564992 3366552 3847488 4488736 6733104 7694976 8977472 13466208 17954944 26932416 53864832