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64293944 = 231113431307
BaseRepresentation
bin1111010101000…
…0110000111000
311110222110201012
43311100300320
5112424401234
610214013052
71410326621
oct365206070
9143873635
1064293944
1133323aa0
1219647188
1310421570
148778a48
1559a00ce
hex3d50c38

64293944 has 64 divisors (see below), whose sum is σ = 145031040. Its totient is φ = 26328960.

The previous prime is 64293923. The next prime is 64293961. The reversal of 64293944 is 44939246.

64293944 = T40 + T41 + ... + T727.

It is a super-2 number, since 2×642939442 = 8267422470150272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48539 + ... + 49845.

It is an arithmetic number, because the mean of its divisors is an integer number (2266110).

Almost surely, 264293944 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 64293944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72515520).

64293944 is an abundant number, since it is smaller than the sum of its proper divisors (80737096).

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

64293944 is a wasteful number, since it uses less digits than its factorization.

64293944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1376 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 64293944 is about 8018.3504538028. The cubic root of 64293944 is about 400.6114481849.

The spelling of 64293944 in words is "sixty-four million, two hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 86 88 104 143 172 286 344 473 559 572 946 1118 1144 1307 1892 2236 2614 3784 4472 5228 6149 10456 12298 14377 16991 24596 28754 33982 49192 56201 57508 67964 112402 115016 135928 186901 224804 373802 449608 618211 730613 747604 1236422 1461226 1495208 2472844 2922452 4945688 5844904 8036743 16073486 32146972 64293944