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95369664 = 26313192011
BaseRepresentation
bin1011010111100…
…11100111000000
320122110021120210
411223303213000
5143403312124
613244034120
72235425445
oct553634700
9218407523
1095369664
1149919705
1227b32940
13169b2070
14c9479cc
15858ca29
hex5af39c0

95369664 has 112 divisors (see below), whose sum is σ = 286186880. Its totient is φ = 27786240.

The previous prime is 95369647. The next prime is 95369693. The reversal of 95369664 is 46696359.

It is a happy number.

It is a super-2 number, since 2×953696642 = 18190745622945792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46419 + ... + 48429.

It is an arithmetic number, because the mean of its divisors is an integer number (2555240).

Almost surely, 295369664 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 95369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143093440).

95369664 is an abundant number, since it is smaller than the sum of its proper divisors (190817216).

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

95369664 is a wasteful number, since it uses less digits than its factorization.

95369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2048 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 95369664 is about 9765.7392961311. The cubic root of 95369664 is about 456.8813364306.

The spelling of 95369664 in words is "ninety-five million, three hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2011 2496 2964 3648 3952 4022 5928 6033 7904 8044 11856 12066 15808 16088 23712 24132 26143 32176 38209 47424 48264 52286 64352 76418 78429 96528 104572 114627 128704 152836 156858 193056 209144 229254 305672 313716 386112 418288 458508 496717 611344 627432 836576 917016 993434 1222688 1254864 1490151 1673152 1834032 1986868 2445376 2509728 2980302 3668064 3973736 5019456 5960604 7336128 7947472 11921208 15894944 23842416 31789888 47684832 95369664