[go: up one dir, main page]

Search a number
-
+
45878688 = 2532241661
BaseRepresentation
bin1010111100000…
…0110110100000
310012022212201200
42233000312200
543221104223
64315201200
71064651052
oct257006640
9105285650
1045878688
1123996379
1213446200
13967456b
1461438d2
154063a43
hex2bc0da0

45878688 has 72 divisors (see below), whose sum is σ = 131207076. Its totient is φ = 15206400.

The previous prime is 45878683. The next prime is 45878717. The reversal of 45878688 is 88687854.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 3732624 = 6492^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45878683) 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 11 ways as a sum of consecutive naturals, for example, 69078 + ... + 69738.

Almost surely, 245878688 is an apocalyptic number.

45878688 is a gapful number since it is divisible by the number (48) 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 45878688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65603538).

45878688 is an abundant number, since it is smaller than the sum of its proper divisors (85328388).

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

45878688 is a wasteful number, since it uses less digits than its factorization.

45878688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 45878688 is about 6773.3808397284. The cubic root of 45878688 is about 357.9895339366.

The spelling of 45878688 in words is "forty-five million, eight hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 661 723 964 1322 1446 1928 1983 2169 2644 2892 3856 3966 4338 5288 5784 5949 7712 7932 8676 10576 11568 11898 15864 17352 21152 23136 23796 31728 34704 47592 63456 69408 95184 159301 190368 318602 477903 637204 955806 1274408 1433709 1911612 2548816 2867418 3823224 5097632 5734836 7646448 11469672 15292896 22939344 45878688