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52213968 = 2432715107
BaseRepresentation
bin1100011100101…
…1100011010000
310122020202002200
43013023203100
5101331321333
65103043200
71202545212
oct307134320
9118222080
1052213968
1127523144
12155a0500
13aa82051
146d125b2
1548b5c13
hex31cb8d0

52213968 has 60 divisors (see below), whose sum is σ = 148213728. Its totient is φ = 17156160.

The previous prime is 52213927. The next prime is 52213969. The reversal of 52213968 is 86931225.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52213969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7671 + ... + 12777.

Almost surely, 252213968 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 52213968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74106864).

52213968 is an abundant number, since it is smaller than the sum of its proper divisors (95999760).

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

52213968 is a wasteful number, since it uses less digits than its factorization.

52213968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5183 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 52213968 is about 7225.9233320040. The cubic root of 52213968 is about 373.7623625028.

The spelling of 52213968 in words is "fifty-two million, two hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5107 5112 10214 10224 15321 20428 30642 40856 45963 61284 81712 91926 122568 183852 245136 362597 367704 725194 735408 1087791 1450388 2175582 2900776 3263373 4351164 5801552 6526746 8702328 13053492 17404656 26106984 52213968