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52210152 = 23326779137
BaseRepresentation
bin1100011100101…
…0100111101000
310122020112212100
43013022213220
5101331211102
65103013400
71202531121
oct307124750
9118215770
1052210152
1127520295
121559a260
13aa803a7
146d11048
1548b4a1c
hex31ca9e8

52210152 has 96 divisors (see below), whose sum is σ = 146390400. Its totient is φ = 16803072.

The previous prime is 52210139. The next prime is 52210163. The reversal of 52210152 is 25101225.

52210152 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 (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 381028 + ... + 381164.

It is an arithmetic number, because the mean of its divisors is an integer number (1524900).

Almost surely, 252210152 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 52210152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73195200).

52210152 is an abundant number, since it is smaller than the sum of its proper divisors (94180248).

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

52210152 is a wasteful number, since it uses less digits than its factorization.

52210152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 52210152 is about 7225.6592778791. The cubic root of 52210152 is about 373.7532569449.

Adding to 52210152 its reverse (25101225), we get a palindrome (77311377).

The spelling of 52210152 in words is "fifty-two million, two hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 79 134 137 158 201 237 268 274 316 402 411 474 536 548 603 632 711 804 822 948 1096 1206 1233 1422 1608 1644 1896 2412 2466 2844 3288 4824 4932 5293 5688 9179 9864 10586 10823 15879 18358 21172 21646 27537 31758 32469 36716 42344 43292 47637 55074 63516 64938 73432 82611 86584 95274 97407 110148 127032 129876 165222 190548 194814 220296 259752 330444 381096 389628 660888 725141 779256 1450282 2175423 2900564 4350846 5801128 6526269 8701692 13052538 17403384 26105076 52210152