Search a number
-
+
88158048 = 25311312693
BaseRepresentation
bin1010100000100…
…10111101100000
320010212220002220
411100102331200
5140032024143
612425311040
72120221356
oct520227540
9203786086
1088158048
11458434a0
1225635480
1315358734
14b9cb7d6
157b15d83
hex5412f60

88158048 has 96 divisors (see below), whose sum is σ = 260692992. Its totient is φ = 25843200.

The previous prime is 88158047. The next prime is 88158067. The reversal of 88158048 is 84085188.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88158047) 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 15 ways as a sum of consecutive naturals, for example, 31390 + ... + 34082.

It is an arithmetic number, because the mean of its divisors is an integer number (2715552).

Almost surely, 288158048 is an apocalyptic number.

88158048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88158048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130346496).

88158048 is an abundant number, since it is smaller than the sum of its proper divisors (172534944).

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

88158048 is a wasteful number, since it uses less digits than its factorization.

88158048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 88158048 is about 9389.2517273742. The cubic root of 88158048 is about 445.0621434066.

The spelling of 88158048 in words is "eighty-eight million, one hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2693 2728 2976 4092 5386 5456 8079 8184 10772 10912 16158 16368 21544 29623 32316 32736 43088 59246 64632 83483 86176 88869 118492 129264 166966 177738 236984 250449 258528 333932 355476 473968 500898 667864 710952 918313 947936 1001796 1335728 1421904 1836626 2003592 2671456 2754939 2843808 3673252 4007184 5509878 7346504 8014368 11019756 14693008 22039512 29386016 44079024 88158048