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55990464 = 2632331409
BaseRepresentation
bin1101010110010…
…1100011000000
310220100121110220
43111211203000
5103313143324
65320023040
71246624335
oct325454300
9126317426
1055990464
1129672512
1216901a80
13b7a4c6a
14761698c
154daeb79
hex35658c0

55990464 has 112 divisors (see below), whose sum is σ = 159959040. Its totient is φ = 17233920.

The previous prime is 55990463. The next prime is 55990471. The reversal of 55990464 is 46409955.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (55990463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136692 + ... + 137100.

Almost surely, 255990464 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 55990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79979520).

55990464 is an abundant number, since it is smaller than the sum of its proper divisors (103968576).

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

55990464 is a wasteful number, since it uses less digits than its factorization.

55990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 55990464 is about 7482.6775956204. The cubic root of 55990464 is about 382.5645189982.

The spelling of 55990464 in words is "fifty-five million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 409 496 552 713 736 744 818 992 1104 1227 1426 1472 1488 1636 1984 2139 2208 2454 2852 2976 3272 4278 4416 4908 5704 5952 6544 8556 9407 9816 11408 12679 13088 17112 18814 19632 22816 25358 26176 28221 34224 37628 38037 39264 45632 50716 56442 68448 75256 76074 78528 101432 112884 136896 150512 152148 202864 225768 291617 301024 304296 405728 451536 583234 602048 608592 811456 874851 903072 1166468 1217184 1749702 1806144 2332936 2434368 3499404 4665872 6998808 9331744 13997616 18663488 27995232 55990464