Search a number
-
+
53928504 = 233671321
BaseRepresentation
bin1100110110111…
…0001000111000
310202110212000000
43031232020320
5102301203004
65203513000
71223245650
oct315561070
9122425000
1053928504
1128494313
1216088760
13b232576
14723b360
154b03c39
hex336e238

53928504 has 112 divisors (see below), whose sum is σ = 173393520. Its totient is φ = 15396480.

The previous prime is 53928473. The next prime is 53928509. The reversal of 53928504 is 40582935.

53928504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53928509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40164 + ... + 41484.

Almost surely, 253928504 is an apocalyptic number.

53928504 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 53928504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86696760).

53928504 is an abundant number, since it is smaller than the sum of its proper divisors (119465016).

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

53928504 is a wasteful number, since it uses less digits than its factorization.

53928504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

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

The square root of 53928504 is about 7343.6029304422. The cubic root of 53928504 is about 377.8094277469.

The spelling of 53928504 in words is "fifty-three million, nine hundred twenty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1321 1458 1512 1701 1944 2268 2642 2916 3402 3963 4536 5103 5284 5832 6804 7926 9247 10206 10568 11889 13608 15852 18494 20412 23778 27741 31704 35667 36988 40824 47556 55482 71334 73976 83223 95112 107001 110964 142668 166446 214002 221928 249669 285336 321003 332892 428004 499338 642006 665784 749007 856008 963009 998676 1284012 1498014 1926018 1997352 2247021 2568024 2996028 3852036 4494042 5992056 6741063 7704072 8988084 13482126 17976168 26964252 53928504