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3914379225 = 3252432972
BaseRepresentation
bin1110100101010000…
…1010111111011001
3101002210121001211100
43221110022333121
531004040113400
61444230422013
7166000450221
oct35124127731
911083531740
103914379225
111729624059
12912b01909
134a4c73b33
14291c27081
1517d9b1100
hexe950afd9

3914379225 has 81 divisors (see below), whose sum is σ = 7252690653. Its totient is φ = 2018096640.

The previous prime is 3914379199. The next prime is 3914379239. The reversal of 3914379225 is 5229734193.

The square root of 3914379225 is 62565.

It is a perfect power (a square), and thus also a powerful number.

3914379225 is a `hidden beast` number, since 391 + 4 + 37 + 9 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143928009 + 3770451216 = 11997^2 + 61404^2 .

It is not a de Polignac number, because 3914379225 - 25 = 3914379193 is a prime.

It is a super-2 number, since 2×39143792252 = 30644729434223201250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40354377 + ... + 40354473.

Almost surely, 23914379225 is an apocalyptic number.

3914379225 is the 62565-th square number.

3914379225 is the 31283-rd centered octagonal number.

It is an amenable number.

3914379225 is a deficient number, since it is larger than the sum of its proper divisors (3338311428).

3914379225 is an equidigital number, since it uses as much as digits as its factorization.

3914379225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The cubic root of 3914379225 is about 1575.9930547645.

It can be divided in two parts, 39 and 14379225, that added together give a square (14379264 = 37922).

The spelling of 3914379225 in words is "three billion, nine hundred fourteen million, three hundred seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 97 129 215 225 291 387 485 645 873 1075 1455 1849 1935 2425 3225 4171 4365 5547 7275 9245 9409 9675 12513 16641 20855 21825 27735 28227 37539 46225 47045 62565 83205 84681 104275 138675 141135 179353 187695 235225 312825 404587 416025 423405 538059 705675 896765 938475 1213761 1614177 2022935 2117025 2690295 3641283 4483825 6068805 8070885 10114675 13451475 17397241 18206415 30344025 40354425 52191723 86986205 91032075 156575169 260958615 434931025 782875845 1304793075 3914379225