Search a number
-
+
45008976 = 2432359691
BaseRepresentation
bin1010101110110…
…0100001010000
310010200200201010
42223230201100
543010241401
64244410520
71054366335
oct253544120
9103620633
1045008976
1123451a01
12130a6a40
13942b73c
145d9898c
153e40ed6
hex2aec850

45008976 has 80 divisors (see below), whose sum is σ = 123563520. Its totient is φ = 14087040.

The previous prime is 45008969. The next prime is 45008987. The reversal of 45008976 is 67980054.

It is a congruent number.

It is an unprimeable number.

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, 64791 + ... + 65481.

It is an arithmetic number, because the mean of its divisors is an integer number (1544544).

Almost surely, 245008976 is an apocalyptic number.

45008976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45008976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61781760).

45008976 is an abundant number, since it is smaller than the sum of its proper divisors (78554544).

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

45008976 is a wasteful number, since it uses less digits than its factorization.

45008976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 45008976 is about 6708.8729306792. The cubic root of 45008976 is about 355.7129782651.

The spelling of 45008976 in words is "forty-five million, eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 177 184 236 276 354 368 472 552 691 708 944 1104 1357 1382 1416 2073 2714 2764 2832 4071 4146 5428 5528 8142 8292 10856 11056 15893 16284 16584 21712 31786 32568 33168 40769 47679 63572 65136 81538 95358 122307 127144 163076 190716 244614 254288 326152 381432 489228 652304 762864 937687 978456 1875374 1956912 2813061 3750748 5626122 7501496 11252244 15002992 22504488 45008976