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45678976 = 27727283
BaseRepresentation
bin1010111001000…
…0000110000000
310011221201202221
42232100012000
543143211401
64311020424
71063156600
oct256200600
9104851687
1045678976
112386a322
121336a714
1396046a5
1460d0c00
1540247a1
hex2b90180

45678976 has 48 divisors (see below), whose sum is σ = 105872940. Its totient is φ = 19574016.

The previous prime is 45678953. The next prime is 45678977. The reversal of 45678976 is 67987654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45678977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2631 + ... + 9913.

Almost surely, 245678976 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 45678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52936470).

45678976 is an abundant number, since it is smaller than the sum of its proper divisors (60193964).

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

45678976 is an equidigital number, since it uses as much as digits as its factorization.

45678976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7311 (or 7292 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 45678976 is about 6758.6223448274. The cubic root of 45678976 is about 357.4693301806.

Adding to 45678976 its product of digits (2540160), we get a square (48219136 = 69442).

The spelling of 45678976 in words is "forty-five million, six hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 7283 14566 29132 50981 58264 101962 116528 203924 233056 356867 407848 466112 713734 815696 932224 1427468 1631392 2854936 3262784 5709872 6525568 11419744 22839488 45678976