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3722933025 = 325272337681
BaseRepresentation
bin1101110111100111…
…0111001100100001
3100121110100121000100
43131321313030201
530111032324100
61413231213013
7161154260100
oct33571671441
910543317010
103722933025
111640553759
1287a977169
134743c3066
14274630037
1516bc96400
hexdde77321

3722933025 has 54 divisors (see below), whose sum is σ = 7756893222. Its totient is φ = 1701907200.

The previous prime is 3722933021. The next prime is 3722933047. The reversal of 3722933025 is 5203392273.

It can be written as a sum of positive squares in 3 ways, for example, as 850830561 + 2872102464 = 29169^2 + 53592^2 .

It is not a de Polignac number, because 3722933025 - 22 = 3722933021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3722933021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 157816 + ... + 179865.

Almost surely, 23722933025 is an apocalyptic number.

3722933025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3722933025 is an abundant number, since it is smaller than the sum of its proper divisors (4033960197).

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

3722933025 is a wasteful number, since it uses less digits than its factorization.

3722933025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337711 (or 337696 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3722933025 is about 61015.8424099840. The cubic root of 3722933025 is about 1549.8692952567.

The spelling of 3722933025 in words is "three billion, seven hundred twenty-two million, nine hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 337681 1013043 1688405 2363767 3039129 5065215 7091301 8442025 11818835 15195645 16546369 21273903 25326075 35456505 49639107 59094175 75978225 82731845 106369515 148917321 177282525 248195535 413659225 531847575 744586605 1240977675 3722933025