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95860416 = 2631743683
BaseRepresentation
bin1011011011010…
…11011011000000
320200101012202210
411231223123000
5144020013131
613302342120
72242541301
oct555533300
9220335683
1095860416
114a124393
122812a940
1316b24552
14ca347a8
158638146
hex5b6b6c0

95860416 has 112 divisors (see below), whose sum is σ = 275197824. Its totient is φ = 29331456.

The previous prime is 95860393. The next prime is 95860423. The reversal of 95860416 is 61406859.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

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, 140011 + ... + 140693.

Almost surely, 295860416 is an apocalyptic number.

95860416 is a gapful number since it is divisible by the number (96) 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 95860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137598912).

95860416 is an abundant number, since it is smaller than the sum of its proper divisors (179337408).

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

95860416 is a wasteful number, since it uses less digits than its factorization.

95860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

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

The square root of 95860416 is about 9790.8332638239. The cubic root of 95860416 is about 457.6636674417.

The spelling of 95860416 in words is "ninety-five million, eight hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 344 408 516 544 683 688 731 816 1032 1088 1366 1376 1462 1632 2049 2064 2193 2732 2752 2924 3264 4098 4128 4386 5464 5848 8196 8256 8772 10928 11611 11696 16392 17544 21856 23222 23392 29369 32784 34833 35088 43712 46444 46784 58738 65568 69666 70176 88107 92888 117476 131136 139332 140352 176214 185776 234952 278664 352428 371552 469904 499273 557328 704856 743104 939808 998546 1114656 1409712 1497819 1879616 1997092 2229312 2819424 2995638 3994184 5638848 5991276 7988368 11982552 15976736 23965104 31953472 47930208 95860416