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95001024 = 263975101
BaseRepresentation
bin1011010100110…
…01100111000000
320121202112220110
411222121213000
5143310013044
613232111320
72232331626
oct552314700
9217675813
1095001024
1149697748
1227995540
13168b3331
14c88d516
1585186b9
hex5a999c0

95001024 has 56 divisors (see below), whose sum is σ = 253997968. Its totient is φ = 31334400.

The previous prime is 95001001. The next prime is 95001029. The reversal of 95001024 is 42010059.

It is a super-2 number, since 2×950010242 = 18050389122097152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95001029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16074 + ... + 21174.

It is an arithmetic number, because the mean of its divisors is an integer number (4535678).

Almost surely, 295001024 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 95001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126998984).

95001024 is an abundant number, since it is smaller than the sum of its proper divisors (158996944).

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

95001024 is a wasteful number, since it uses less digits than its factorization.

95001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 95001024 is about 9746.8468747590. The cubic root of 95001024 is about 456.2919029757.

The spelling of 95001024 in words is "ninety-five million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 5101 6208 9312 10202 15303 18624 20404 30606 40808 61212 81616 122424 163232 244848 326464 489696 494797 979392 989594 1484391 1979188 2968782 3958376 5937564 7916752 11875128 15833504 23750256 31667008 47500512 95001024