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95313006 = 232192291217
BaseRepresentation
bin1011010111001…
…01110001101110
320122100101212100
411223211301232
5143400004011
613242515530
72235101325
oct553456156
9218311770
1095313006
1149890088
1227b05ba6
1316992339
14c9310bc
15857ad56
hex5ae5c6e

95313006 has 48 divisors (see below), whose sum is σ = 218509200. Its totient is φ = 29942784.

The previous prime is 95312977. The next prime is 95313017. The reversal of 95313006 is 60031359.

It is a super-2 number, since 2×953130062 = 18169138225512072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77710 + ... + 78926.

It is an arithmetic number, because the mean of its divisors is an integer number (4552275).

Almost surely, 295313006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95313006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109254600).

95313006 is an abundant number, since it is smaller than the sum of its proper divisors (123196194).

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

95313006 is a wasteful number, since it uses less digits than its factorization.

95313006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 95313006 is about 9762.8380095134. The cubic root of 95313006 is about 456.7908425581.

The spelling of 95313006 in words is "ninety-five million, three hundred thirteen thousand, six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 229 342 458 687 1217 1374 2061 2434 3651 4122 4351 7302 8702 10953 13053 21906 23123 26106 39159 46246 69369 78318 138738 208107 278693 416214 557386 836079 1672158 2508237 5016474 5295167 10590334 15885501 31771002 47656503 95313006