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95096568 = 233729131149
BaseRepresentation
bin1011010101100…
…00111011111000
320121221101222010
411222300323320
5143321042233
613234125520
72233210320
oct552607370
9217841863
1095096568
1149752506
1227a208a0
1316917978
14c8b6280
158536b63
hex5ab0ef8

95096568 has 128 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 25858560.

The previous prime is 95096563. The next prime is 95096579. The reversal of 95096568 is 86569059.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95096563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638158 + ... + 638306.

It is an arithmetic number, because the mean of its divisors is an integer number (2227500).

Almost surely, 295096568 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 95096568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560000).

95096568 is an abundant number, since it is smaller than the sum of its proper divisors (190023432).

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

95096568 is a wasteful number, since it uses less digits than its factorization.

95096568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 95096568 is about 9751.7469204241. The cubic root of 95096568 is about 456.4448183334. Note that the first 3 decimals are identical.

The spelling of 95096568 in words is "ninety-five million, ninety-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 131 149 168 174 203 232 262 298 348 393 406 447 524 596 609 696 786 812 894 917 1043 1048 1192 1218 1572 1624 1788 1834 2086 2436 2751 3129 3144 3576 3668 3799 4172 4321 4872 5502 6258 7336 7598 8344 8642 11004 11397 12516 12963 15196 17284 19519 22008 22794 25032 25926 26593 30247 30392 34568 39038 45588 51852 53186 58557 60494 78076 79779 90741 91176 103704 106372 117114 120988 136633 156152 159558 181482 212744 234228 241976 273266 319116 362964 409899 468456 546532 566051 638232 725928 819798 1093064 1132102 1639596 1698153 2264204 3279192 3396306 3962357 4528408 6792612 7924714 11887071 13585224 15849428 23774142 31698856 47548284 95096568