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52217952 = 2533761241
BaseRepresentation
bin1100011100110…
…0100001100000
310122020221120020
43013030201200
5101331433302
65103113440
71202562633
oct307144140
9118227506
1052217952
1127526136
12155a2880
13aa83ac7
146d13c1a
1548b6ebc
hex31cc860

52217952 has 96 divisors (see below), whose sum is σ = 143678304. Its totient is φ = 16588800.

The previous prime is 52217941. The next prime is 52217959. The reversal of 52217952 is 25971225.

It is a happy number.

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

It is a super-2 number, since 2×522179522 = 5453429022148608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52217959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216552 + ... + 216792.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 252217952 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 52217952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

52217952 is an abundant number, since it is smaller than the sum of its proper divisors (91460352).

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

52217952 is a wasteful number, since it uses less digits than its factorization.

52217952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 52217952 is about 7226.1990008579. The cubic root of 52217952 is about 373.7718684609.

The spelling of 52217952 in words is "fifty-two million, two hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 74 96 111 122 148 183 222 241 244 296 366 444 482 488 592 723 732 888 964 976 1184 1446 1464 1776 1928 1952 2257 2892 2928 3552 3856 4514 5784 5856 6771 7712 8917 9028 11568 13542 14701 17834 18056 23136 26751 27084 29402 35668 36112 44103 53502 54168 58804 71336 72224 88206 107004 108336 117608 142672 176412 214008 216672 235216 285344 352824 428016 470432 543937 705648 856032 1087874 1411296 1631811 2175748 3263622 4351496 6527244 8702992 13054488 17405984 26108976 52217952