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64088442 = 23311234691
BaseRepresentation
bin1111010001111…
…0100101111010
311110121000211000
43310132211322
5112401312232
610205345430
71405512525
oct364364572
9143530730
1064088442
11331a3660
1219568276
131037bb72
148723bbc
15595e27c
hex3d1e97a

64088442 has 64 divisors (see below), whose sum is σ = 162155520. Its totient is φ = 18572400.

The previous prime is 64088417. The next prime is 64088459. The reversal of 64088442 is 24488046.

64088442 is a `hidden beast` number, since 640 + 8 + 8 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64088397 and 64088406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11317 + ... + 16007.

It is an arithmetic number, because the mean of its divisors is an integer number (2533680).

Almost surely, 264088442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64088442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81077760).

64088442 is an abundant number, since it is smaller than the sum of its proper divisors (98067078).

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

64088442 is a wasteful number, since it uses less digits than its factorization.

64088442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 64088442 is about 8005.5257166535. The cubic root of 64088442 is about 400.1841693578.

The spelling of 64088442 in words is "sixty-four million, eighty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 4691 6831 9382 13662 14073 28146 42219 51601 84438 103202 107893 126657 154803 215786 253314 309606 323679 464409 647358 928818 971037 1186823 1393227 1942074 2373646 2786454 2913111 3560469 5826222 7120938 10681407 21362814 32044221 64088442