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64076742 = 2327945061
BaseRepresentation
bin1111010001101…
…1101111000110
311110120102202200
43310123233012
5112400423432
610205215330
71405433442
oct364335706
9143512680
1064076742
1133195894
1219561546
1310376742
14871d822
15595aa7c
hex3d1bbc6

64076742 has 24 divisors (see below), whose sum is σ = 140593440. Its totient is φ = 21088080.

The previous prime is 64076717. The next prime is 64076777. The reversal of 64076742 is 24767046.

64076742 is a `hidden beast` number, since 640 + 7 + 6 + 7 + 4 + 2 = 666.

It is a super-3 number, since 3×640767423 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64076697 and 64076706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21109 + ... + 23952.

It is an arithmetic number, because the mean of its divisors is an integer number (5858060).

Almost surely, 264076742 is an apocalyptic number.

64076742 is an abundant number, since it is smaller than the sum of its proper divisors (76516698).

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

64076742 is a wasteful number, since it uses less digits than its factorization.

64076742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45148 (or 45145 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 64076742 is about 8004.7949380356. The cubic root of 64076742 is about 400.1598153058.

The spelling of 64076742 in words is "sixty-four million, seventy-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 45061 90122 135183 270366 405549 811098 3559819 7119638 10679457 21358914 32038371 64076742