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95003688 = 23313259397
BaseRepresentation
bin1011010100110…
…10010000101000
320121202200120010
411222122100220
5143310104223
613232131520
72232342453
oct552322050
9217680503
1095003688
114969974a
1227996ba0
13168b4600
14c89049a
158519393
hex5a9a428

95003688 has 96 divisors (see below), whose sum is σ = 262202400. Its totient is φ = 28664064.

The previous prime is 95003687. The next prime is 95003707. The reversal of 95003688 is 88630059.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (95003687) 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 23 ways as a sum of consecutive naturals, for example, 239106 + ... + 239502.

It is an arithmetic number, because the mean of its divisors is an integer number (2731275).

Almost surely, 295003688 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 95003688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131101200).

95003688 is an abundant number, since it is smaller than the sum of its proper divisors (167198712).

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

95003688 is a wasteful number, since it uses less digits than its factorization.

95003688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 95003688 is about 9746.9835333810. The cubic root of 95003688 is about 456.2961680184.

The spelling of 95003688 in words is "ninety-five million, three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 169 177 236 312 338 354 397 472 507 676 708 767 794 1014 1191 1352 1416 1534 1588 2028 2301 2382 3068 3176 4056 4602 4764 5161 6136 9204 9528 9971 10322 15483 18408 19942 20644 23423 29913 30966 39884 41288 46846 59826 61932 67093 70269 79768 93692 119652 123864 134186 140538 187384 201279 239304 268372 281076 304499 402558 536744 562152 608998 805116 913497 1217996 1610232 1826994 2435992 3653988 3958487 7307976 7916974 11875461 15833948 23750922 31667896 47501844 95003688