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64625940 = 22325477639
BaseRepresentation
bin1111011010000…
…1110100010100
311111121100010100
43312201310110
5113021012230
610225054100
71413211551
oct366416424
9144540110
1064625940
1133530475
1219787330
1310509702
148823a28
155a18660
hex3da1d14

64625940 has 72 divisors (see below), whose sum is σ = 200229120. Its totient is φ = 16864704.

The previous prime is 64625927. The next prime is 64625941. The reversal of 64625940 is 4952646.

64625940 is a `hidden beast` number, since 6 + 4 + 62 + 594 + 0 = 666.

64625940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64625895 and 64625904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64625941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4641 + ... + 12279.

It is an arithmetic number, because the mean of its divisors is an integer number (2780960).

Almost surely, 264625940 is an apocalyptic number.

64625940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64625940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100114560).

64625940 is an abundant number, since it is smaller than the sum of its proper divisors (135603180).

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

64625940 is a wasteful number, since it uses less digits than its factorization.

64625940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 64625940 is about 8039.0260604130. The cubic root of 64625940 is about 401.2998133050.

The spelling of 64625940 in words is "sixty-four million, six hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 7639 8460 15278 22917 30556 38195 45834 68751 76390 91668 114585 137502 152780 229170 275004 343755 359033 458340 687510 718066 1077099 1375020 1436132 1795165 2154198 3231297 3590330 4308396 5385495 6462594 7180660 10770990 12925188 16156485 21541980 32312970 64625940