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95525760 = 2735114523
BaseRepresentation
bin1011011000110…
…01101110000000
320122202012201010
411230121232000
5143423311020
613251240520
72236645521
oct554315600
9218665633
1095525760
1149a15a10
1227ba9140
1316a38125
14c988848
1585bdde0
hex5b19b80

95525760 has 128 divisors (see below), whose sum is σ = 332242560. Its totient is φ = 23152640.

The previous prime is 95525753. The next prime is 95525767. The reversal of 95525760 is 6752559.

It is an interprime number because it is at equal distance from previous prime (95525753) and next prime (95525767).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95525767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18859 + ... + 23381.

It is an arithmetic number, because the mean of its divisors is an integer number (2595645).

Almost surely, 295525760 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 95525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166121280).

95525760 is an abundant number, since it is smaller than the sum of its proper divisors (236716800).

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

95525760 is a wasteful number, since it uses less digits than its factorization.

95525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 95525760 is about 9773.7280502375. The cubic root of 95525760 is about 457.1304669261.

The spelling of 95525760 in words is "ninety-five million, five hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 4523 5280 7040 9046 10560 13569 18092 21120 22615 27138 36184 45230 49753 54276 67845 72368 90460 99506 108552 135690 144736 149259 180920 199012 217104 248765 271380 289472 298518 361840 398024 434208 497530 542760 578944 597036 723680 746295 796048 868416 995060 1085520 1194072 1447360 1492590 1592096 1736832 1990120 2171040 2388144 2894720 2985180 3184192 3980240 4342080 4776288 5970360 6368384 7960480 8684160 9552576 11940720 15920960 19105152 23881440 31841920 47762880 95525760