Search a number
-
+
52431552 = 2632227401
BaseRepresentation
bin1100100000000…
…0101011000000
310122122210120100
43020000223000
5101410302202
65111442400
71204442445
oct310005300
9118583510
1052431552
1127661668
1215686400
13ab2a0b4
146d6b9cc
15490a41c
hex3200ac0

52431552 has 84 divisors (see below), whose sum is σ = 151324056. Its totient is φ = 17356800.

The previous prime is 52431541. The next prime is 52431557. The reversal of 52431552 is 25513425.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52431557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130552 + ... + 130952.

Almost surely, 252431552 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 52431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75662028).

52431552 is an abundant number, since it is smaller than the sum of its proper divisors (98892504).

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

52431552 is a wasteful number, since it uses less digits than its factorization.

52431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 52431552 is about 7240.9634718040. The cubic root of 52431552 is about 374.2808189581.

Adding to 52431552 its reverse (25513425), we get a palindrome (77944977).

The spelling of 52431552 in words is "fifty-two million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 227 288 401 454 576 681 802 908 1203 1362 1604 1816 2043 2406 2724 3208 3609 3632 4086 4812 5448 6416 7218 7264 8172 9624 10896 12832 14436 14528 16344 19248 21792 25664 28872 32688 38496 43584 57744 65376 76992 91027 115488 130752 182054 230976 273081 364108 546162 728216 819243 1092324 1456432 1638486 2184648 2912864 3276972 4369296 5825728 6553944 8738592 13107888 17477184 26215776 52431552