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45089784 = 2334149467
BaseRepresentation
bin1010110000000…
…0001111111000
310010211210120000
42230000033320
543020333114
64250233000
71055154045
oct254001770
9103753500
1045089784
11234a7693
1213125760
13945945c
145dba1cc
153e59e09
hex2b003f8

45089784 has 80 divisors (see below), whose sum is σ = 127413000. Its totient is φ = 14897088.

The previous prime is 45089773. The next prime is 45089789. The reversal of 45089784 is 48798054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45089789) 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 19 ways as a sum of consecutive naturals, for example, 96319 + ... + 96785.

Almost surely, 245089784 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 45089784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63706500).

45089784 is an abundant number, since it is smaller than the sum of its proper divisors (82323216).

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

45089784 is a wasteful number, since it uses less digits than its factorization.

45089784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 45089784 is about 6714.8927020467. The cubic root of 45089784 is about 355.9257304143.

The spelling of 45089784 in words is "forty-five million, eighty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 324 447 467 596 648 894 934 1192 1341 1401 1788 1868 2682 2802 3576 3736 4023 4203 5364 5604 8046 8406 10728 11208 12069 12609 16092 16812 24138 25218 32184 33624 37827 48276 50436 69583 75654 96552 100872 139166 151308 208749 278332 302616 417498 556664 626247 834996 1252494 1669992 1878741 2504988 3757482 5009976 5636223 7514964 11272446 15029928 22544892 45089784