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95058208 = 2574371139
BaseRepresentation
bin1011010101001…
…11100100100000
320121212110100101
411222213210200
5143313330313
613233232144
72232660430
oct552474440
9217773311
1095058208
1149726703
1227a02654
131690337b
14c8a62c0
15852a5dd
hex5aa7920

95058208 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 38949120.

The previous prime is 95058181. The next prime is 95058211. The reversal of 95058208 is 80285059.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 683803 + ... + 683941.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 295058208 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 95058208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

95058208 is an abundant number, since it is smaller than the sum of its proper divisors (128475872).

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

95058208 is a wasteful number, since it uses less digits than its factorization.

95058208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 95058208 is about 9749.7798949515. The cubic root of 95058208 is about 456.3834365948.

It can be divided in two parts, 95058 and 208, that added together give a triangular number (95266 = T436).

The spelling of 95058208 in words is "ninety-five million, fifty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 71 86 112 139 142 172 224 278 284 301 344 497 556 568 602 688 973 994 1112 1136 1204 1376 1946 1988 2224 2272 2408 3053 3892 3976 4448 4816 5977 6106 7784 7952 9632 9869 11954 12212 15568 15904 19738 21371 23908 24424 31136 39476 41839 42742 47816 48848 69083 78952 83678 85484 95632 97696 138166 157904 167356 170968 191264 276332 315808 334712 341936 424367 552664 669424 683872 848734 1105328 1338848 1697468 2210656 2970569 3394936 5941138 6789872 11882276 13579744 23764552 47529104 95058208