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53323872 = 2537731087
BaseRepresentation
bin1100101101101…
…0100001100000
310201100010121020
43023122201200
5102122330442
65142525440
71215150120
oct313324140
9121303536
1053323872
1128111018
1215a36880
13b0802b4
147120c80
154a349ec
hex32da860

53323872 has 96 divisors (see below), whose sum is σ = 162312192. Its totient is φ = 15012864.

The previous prime is 53323843. The next prime is 53323873. The reversal of 53323872 is 27832335.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53323873) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48513 + ... + 49599.

It is an arithmetic number, because the mean of its divisors is an integer number (1690752).

Almost surely, 253323872 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 53323872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81156096).

53323872 is an abundant number, since it is smaller than the sum of its proper divisors (108988320).

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

53323872 is a wasteful number, since it uses less digits than its factorization.

53323872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 53323872 is about 7302.3196314596. The cubic root of 53323872 is about 376.3921515972.

The spelling of 53323872 in words is "fifty-three million, three hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1087 1168 1533 1752 2044 2174 2336 3066 3261 3504 4088 4348 6132 6522 7008 7609 8176 8696 12264 13044 15218 16352 17392 22827 24528 26088 30436 34784 45654 49056 52176 60872 79351 91308 104352 121744 158702 182616 238053 243488 317404 365232 476106 555457 634808 730464 952212 1110914 1269616 1666371 1904424 2221828 2539232 3332742 3808848 4443656 6665484 7617696 8887312 13330968 17774624 26661936 53323872