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95097408 = 2637173409
BaseRepresentation
bin1011010101100…
…01001001000000
320121221110010020
411222301021000
5143321104113
613234133440
72233212630
oct552611100
9217843106
1095097408
11497530aa
1227a21280
1316918173
14c8b66c0
158537023
hex5ab1240

95097408 has 112 divisors (see below), whose sum is σ = 289925760. Its totient is φ = 26947584.

The previous prime is 95097391. The next prime is 95097419. The reversal of 95097408 is 80479059.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 95097408.

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, 232308 + ... + 232716.

Almost surely, 295097408 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 95097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144962880).

95097408 is an abundant number, since it is smaller than the sum of its proper divisors (194828352).

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

95097408 is a wasteful number, since it uses less digits than its factorization.

95097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 95097408 is about 9751.7899895353. The cubic root of 95097408 is about 456.4461622744.

The spelling of 95097408 in words is "ninety-five million, ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 409 448 519 672 692 818 1038 1211 1227 1344 1384 1636 2076 2422 2454 2768 2863 3272 3633 4152 4844 4908 5536 5726 6544 7266 8304 8589 9688 9816 11072 11452 13088 14532 16608 17178 19376 19632 22904 26176 29064 33216 34356 38752 39264 45808 58128 68712 70757 77504 78528 91616 116256 137424 141514 183232 212271 232512 274848 283028 424542 495299 549696 566056 849084 990598 1132112 1485897 1698168 1981196 2264224 2971794 3396336 3962392 4528448 5943588 6792672 7924784 11887176 13585344 15849568 23774352 31699136 47548704 95097408