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95248368 = 243219311123
BaseRepresentation
bin1011010110101…
…01111111110000
320122020010012100
411223111333300
5143340421433
613241300400
72234412015
oct553257760
9218203170
1095248368
1149846566
1227a94700
131696baa7
14c91570c
158566b13
hex5ad5ff0

95248368 has 120 divisors (see below), whose sum is σ = 289902080. Its totient is φ = 29082240.

The previous prime is 95248357. The next prime is 95248379. The reversal of 95248368 is 86384259.

It is an interprime number because it is at equal distance from previous prime (95248357) and next prime (95248379).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84255 + ... + 85377.

Almost surely, 295248368 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 95248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144951040).

95248368 is an abundant number, since it is smaller than the sum of its proper divisors (194653712).

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

95248368 is a wasteful number, since it uses less digits than its factorization.

95248368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1178 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 95248368 is about 9759.5270377206. The cubic root of 95248368 is about 456.6875592646.

The spelling of 95248368 in words is "ninety-five million, two hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1123 1178 1368 1488 1767 2232 2246 2356 2736 3369 3534 4464 4492 4712 5301 6738 7068 8984 9424 10107 10602 13476 14136 17968 20214 21204 21337 26952 28272 34813 40428 42408 42674 53904 64011 69626 80856 84816 85348 104439 128022 139252 161712 170696 192033 208878 256044 278504 313317 341392 384066 417756 512088 557008 626634 661447 768132 835512 1024176 1253268 1322894 1536264 1671024 1984341 2506536 2645788 3072528 3968682 5013072 5291576 5953023 7937364 10583152 11906046 15874728 23812092 31749456 47624184 95248368