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53831088 = 24333532
BaseRepresentation
bin1100110101011…
…0010110110000
310202021220101000
43031112112300
5102240043323
65201442000
71222361643
oct315262660
9122256330
1053831088
1128428103
1216040300
13b1ca11c
147213a5a
154ad4e43
hex33565b0

53831088 has 60 divisors (see below), whose sum is σ = 154954120. Its totient is φ = 17892864.

The previous prime is 53831087. The next prime is 53831101. The reversal of 53831088 is 88013835.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

53831088 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 not an unprimeable number, because it can be changed into a prime (53831087) 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 11 ways as a sum of consecutive naturals, for example, 152320 + ... + 152672.

Almost surely, 253831088 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 53831088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77477060).

53831088 is an abundant number, since it is smaller than the sum of its proper divisors (101123032).

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

53831088 is an equidigital number, since it uses as much as digits as its factorization.

53831088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 53831088 is about 7336.9672208618. The cubic root of 53831088 is about 377.5818000301.

It can be divided in two parts, 538 and 31088, that added together give a triangular number (31626 = T251).

The spelling of 53831088 in words is "fifty-three million, eight hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 353 432 706 1059 1412 2118 2824 3177 4236 5648 6354 8472 9531 12708 16944 19062 25416 38124 50832 76248 124609 152496 249218 373827 498436 747654 996872 1121481 1495308 1993744 2242962 2990616 3364443 4485924 5981232 6728886 8971848 13457772 17943696 26915544 53831088