Search a number
-
+
52389504 = 273431163
BaseRepresentation
bin1100011111011…
…0011010000000
310122120122220000
43013312122000
5101402431004
65110520000
71204206036
oct307663200
9118518800
1052389504
1127633012
1215666000
13ab13c0b
146d5a556
1548ecc39
hex31f6680

52389504 has 160 divisors (see below), whose sum is σ = 161927040. Its totient is φ = 16796160.

The previous prime is 52389503. The next prime is 52389509. The reversal of 52389504 is 40598325.

52389504 is a `hidden beast` number, since 523 + 89 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52389503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321327 + ... + 321489.

It is an arithmetic number, because the mean of its divisors is an integer number (1012044).

Almost surely, 252389504 is an apocalyptic number.

52389504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52389504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80963520).

52389504 is an abundant number, since it is smaller than the sum of its proper divisors (109537536).

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

52389504 is a wasteful number, since it uses less digits than its factorization.

52389504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 52389504 is about 7238.0594084326. The cubic root of 52389504 is about 374.1807394692.

The spelling of 52389504 in words is "fifty-two million, three hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 163 186 192 216 248 279 288 324 326 372 384 432 489 496 558 576 648 652 744 837 864 978 992 1116 1152 1296 1304 1467 1488 1674 1728 1956 1984 2232 2511 2592 2608 2934 2976 3348 3456 3912 3968 4401 4464 5022 5053 5184 5216 5868 5952 6696 7824 8802 8928 10044 10106 10368 10432 11736 11904 13203 13392 15159 15648 17604 17856 20088 20212 20864 23472 26406 26784 30318 31296 35208 35712 40176 40424 45477 46944 52812 53568 60636 62592 70416 80352 80848 90954 93888 105624 107136 121272 136431 140832 160704 161696 181908 187776 211248 242544 272862 281664 321408 323392 363816 409293 422496 485088 545724 563328 646784 727632 818586 844992 970176 1091448 1455264 1637172 1689984 1940352 2182896 2910528 3274344 4365792 5821056 6548688 8731584 13097376 17463168 26194752 52389504