Search a number
-
+
52888920 = 2335779797
BaseRepresentation
bin1100100111000…
…0010101011000
310200112000221220
43021300111120
5102014421140
65125332040
71211356050
oct311602530
9120460856
1052888920
1127944257
1215867020
13ac5a326
14704a560
15499abd0
hex3270558

52888920 has 128 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 11920896.

The previous prime is 52888919. The next prime is 52888933. The reversal of 52888920 is 2988825.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65962 + ... + 66758.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 252888920 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 52888920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

52888920 is an abundant number, since it is smaller than the sum of its proper divisors (130970280).

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

52888920 is a wasteful number, since it uses less digits than its factorization.

52888920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 52888920 is about 7272.4768820533. The cubic root of 52888920 is about 375.3659716121.

The spelling of 52888920 in words is "fifty-two million, eight hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 210 237 280 316 395 420 474 553 632 790 797 840 948 1106 1185 1580 1594 1659 1896 2212 2370 2391 2765 3160 3188 3318 3985 4424 4740 4782 5530 5579 6376 6636 7970 8295 9480 9564 11060 11158 11955 13272 15940 16590 16737 19128 22120 22316 23910 27895 31880 33180 33474 44632 47820 55790 62963 66360 66948 83685 95640 111580 125926 133896 167370 188889 223160 251852 314815 334740 377778 440741 503704 629630 669480 755556 881482 944445 1259260 1322223 1511112 1762964 1888890 2203705 2518520 2644446 3525928 3777780 4407410 5288892 6611115 7555560 8814820 10577784 13222230 17629640 26444460 52888920