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64442628 = 2235167397
BaseRepresentation
bin1111010111010…
…1000100000100
311111021000200000
43311311010010
5112444131003
610221121300
71411516245
oct365650404
9144230600
1064442628
1133415778
12196b9230
1310474143
1487b6ccc
1559ce1a3
hex3d75104

64442628 has 72 divisors (see below), whose sum is σ = 170369472. Its totient is φ = 21298464.

The previous prime is 64442561. The next prime is 64442633. The reversal of 64442628 is 82624446.

It is a happy number.

64442628 is a `hidden beast` number, since 644 + 4 + 2 + 6 + 2 + 8 = 666.

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 = 64442592 and 64442601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162126 + ... + 162522.

Almost surely, 264442628 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 64442628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85184736).

64442628 is an abundant number, since it is smaller than the sum of its proper divisors (105926844).

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

64442628 is a wasteful number, since it uses less digits than its factorization.

64442628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 64442628 is about 8027.6165827722. The cubic root of 64442628 is about 400.9200239342.

The spelling of 64442628 in words is "sixty-four million, four hundred forty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 243 324 334 397 486 501 668 794 972 1002 1191 1503 1588 2004 2382 3006 3573 4509 4764 6012 7146 9018 10719 13527 14292 18036 21438 27054 32157 40581 42876 54108 64314 66299 81162 96471 128628 132598 162324 192942 198897 265196 385884 397794 596691 795588 1193382 1790073 2386764 3580146 5370219 7160292 10740438 16110657 21480876 32221314 64442628