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45073424 = 2411298831
BaseRepresentation
bin1010101111110…
…0010000010000
310010210222010002
42223330100100
543014322144
64250025132
71055055254
oct253742020
9103728102
1045073424
1123496370
12131181a8
139451b86
145db4264
153e5514e
hex2afc410

45073424 has 40 divisors (see below), whose sum is σ = 98565120. Its totient is φ = 19779200.

The previous prime is 45073393. The next prime is 45073451. The reversal of 45073424 is 42437054.

It is a super-2 number, since 2×450734242 = 4063227102167552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 7 ways as a sum of consecutive naturals, for example, 689 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (2464128).

Almost surely, 245073424 is an apocalyptic number.

45073424 is a gapful number since it is divisible by the number (44) 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 45073424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282560).

45073424 is an abundant number, since it is smaller than the sum of its proper divisors (53491696).

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

45073424 is a wasteful number, since it uses less digits than its factorization.

45073424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 45073424 is about 6713.6744037822. The cubic root of 45073424 is about 355.8826781689.

The spelling of 45073424 in words is "forty-five million, seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 8831 17662 35324 70648 97141 141296 194282 256099 388564 512198 777128 1024396 1554256 2048792 2817089 4097584 5634178 11268356 22536712 45073424