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625948120 = 23574674787
BaseRepresentation
bin100101010011110…
…011010111011000
31121121211110101201
4211103303113120
52240220314440
6142040123544
721340320430
oct4523632730
91547743351
10625948120
112a13710a6
121557665b4
139c8b2505
145d1bd2c0
1539e4619a
hex254f35d8

625948120 has 64 divisors (see below), whose sum is σ = 1613364480. Its totient is φ = 214106496.

The previous prime is 625948117. The next prime is 625948121. The reversal of 625948120 is 21849526.

It is a super-2 number, since 2×6259481202 = 783622097863068800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 625948120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625948121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128367 + ... + 133153.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2625948120 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 625948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

625948120 is an abundant number, since it is smaller than the sum of its proper divisors (987416360).

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

625948120 is a wasteful number, since it uses less digits than its factorization.

625948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 625948120 is about 25018.9552139972. The cubic root of 625948120 is about 855.4200915439.

The spelling of 625948120 in words is "six hundred twenty-five million, nine hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 467 934 1868 2335 3269 3736 4670 4787 6538 9340 9574 13076 16345 18680 19148 23935 26152 32690 33509 38296 47870 65380 67018 95740 130760 134036 167545 191480 268072 335090 670180 1340360 2235529 4471058 8942116 11177645 15648703 17884232 22355290 31297406 44710580 62594812 78243515 89421160 125189624 156487030 312974060 625948120