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95115264 = 2113113137
BaseRepresentation
bin1011010101101…
…01100000000000
320121222100121120
411222311200000
5143322142024
613234352240
72233315656
oct552654000
9217870546
1095115264
1149765562
1227a2b680
131692332a
14c8bcdd6
15853c479
hex5ab5800

95115264 has 96 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 31195136.

The previous prime is 95115259. The next prime is 95115299. The reversal of 95115264 is 46251159.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694204 + ... + 694340.

Almost surely, 295115264 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 95115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

95115264 is an abundant number, since it is smaller than the sum of its proper divisors (162574896).

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

95115264 is a wasteful number, since it uses less digits than its factorization.

95115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 95115264 is about 9752.7054707912. The cubic root of 95115264 is about 456.4747287474.

The spelling of 95115264 in words is "ninety-five million, one hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 137 192 226 256 274 339 384 411 452 512 548 678 768 822 904 1024 1096 1356 1536 1644 1808 2048 2192 2712 3072 3288 3616 4384 5424 6144 6576 7232 8768 10848 13152 14464 15481 17536 21696 26304 28928 30962 35072 43392 46443 52608 57856 61924 70144 86784 92886 105216 115712 123848 140288 173568 185772 210432 231424 247696 280576 347136 371544 420864 495392 694272 743088 841728 990784 1486176 1981568 2972352 3963136 5944704 7926272 11889408 15852544 23778816 31705088 47557632 95115264