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52202016 = 2533311949
BaseRepresentation
bin1100011100100…
…0101000100000
310122020010201000
43013020220200
5101330431031
65102512000
71202465316
oct307105040
9118203630
1052202016
1127515169
1215595600
13aa79789
146d0c0b6
1548b23e6
hex31c8a20

52202016 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 16830720.

The previous prime is 52202011. The next prime is 52202023. The reversal of 52202016 is 61020225.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 52202016.

It is not an unprimeable number, because it can be changed into a prime (52202011) 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, 25810 + ... + 27758.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 252202016 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 52202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

52202016 is an abundant number, since it is smaller than the sum of its proper divisors (105045984).

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

52202016 is a wasteful number, since it uses less digits than its factorization.

52202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52202016 is about 7225.0962623345. The cubic root of 52202016 is about 373.7338417268.

The spelling of 52202016 in words is "fifty-two million, two hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 1949 2232 2976 3348 3898 4464 5847 6696 7796 8928 11694 13392 15592 17541 23388 26784 31184 35082 46776 52623 60419 62368 70164 93552 105246 120838 140328 181257 187104 210492 241676 280656 362514 420984 483352 543771 561312 725028 841968 966704 1087542 1450056 1631313 1683936 1933408 2175084 2900112 3262626 4350168 5800224 6525252 8700336 13050504 17400672 26101008 52202016