Search a number
-
+
53152476 = 223132931379
BaseRepresentation
bin1100101011000…
…0101011011100
310201000102111020
43022300223130
5102101334401
65135124140
71213534326
oct312605334
9121012436
1053152476
1128004273
1215973650
13b020290
1470b8616
1549edd36
hex32b0adc

53152476 has 96 divisors (see below), whose sum is σ = 143001600. Its totient is φ = 15240960.

The previous prime is 53152459. The next prime is 53152493. The reversal of 53152476 is 67425135.

53152476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53152459) and next prime (53152493).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 140055 + ... + 140433.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 253152476 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 53152476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71500800).

53152476 is an abundant number, since it is smaller than the sum of its proper divisors (89849124).

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

53152476 is a wasteful number, since it uses less digits than its factorization.

53152476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 53152476 is about 7290.5744629624. The cubic root of 53152476 is about 375.9884465290.

It can be divided in two parts, 53152 and 476, that multiplied together give a palindrome (25300352).

The spelling of 53152476 in words is "fifty-three million, one hundred fifty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 29 31 39 52 58 62 78 87 93 116 124 156 174 186 348 372 377 379 403 754 758 806 899 1131 1137 1209 1508 1516 1612 1798 2262 2274 2418 2697 3596 4524 4548 4836 4927 5394 9854 10788 10991 11687 11749 14781 19708 21982 23374 23498 29562 32973 35061 35247 43964 46748 46996 59124 65946 70122 70494 131892 140244 140988 142883 152737 285766 305474 340721 428649 458211 571532 610948 681442 857298 916422 1022163 1362884 1714596 1832844 2044326 4088652 4429373 8858746 13288119 17717492 26576238 53152476