Search a number
-
+
88973664 = 2531371293
BaseRepresentation
bin1010100110110…
…10000101100000
320012102022220220
411103122011200
5140234124124
612455003040
72130156303
oct523320540
9205368826
1088973664
114625025a
1225969480
1315582a50
14bb60b3a
157c27879
hex54da160

88973664 has 48 divisors (see below), whose sum is σ = 251525232. Its totient is φ = 27376128.

The previous prime is 88973659. The next prime is 88973669. The reversal of 88973664 is 46637988.

It is an interprime number because it is at equal distance from previous prime (88973659) and next prime (88973669).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88973669) 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 7 ways as a sum of consecutive naturals, for example, 34399 + ... + 36894.

It is an arithmetic number, because the mean of its divisors is an integer number (5240109).

Almost surely, 288973664 is an apocalyptic number.

It is an amenable number.

88973664 is an abundant number, since it is smaller than the sum of its proper divisors (162551568).

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

88973664 is a wasteful number, since it uses less digits than its factorization.

88973664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71319 (or 71311 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 88973664 is about 9432.5852235747. The cubic root of 88973664 is about 446.4304664398.

It can be divided in two parts, 8897 and 3664, that added together give a triangular number (12561 = T158).

The spelling of 88973664 in words is "eighty-eight million, nine hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 71293 142586 213879 285172 427758 570344 855516 926809 1140688 1711032 1853618 2281376 2780427 3422064 3707236 5560854 6844128 7414472 11121708 14828944 22243416 29657888 44486832 88973664