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45077634 = 2347127313
BaseRepresentation
bin1010101111110…
…1010010000010
310010211011220000
42223331102002
543014441014
64250100430
71055103450
oct253752202
9103734800
1045077634
1123499548
121311a716
139453a74
145db59d0
153e56509
hex2afd482

45077634 has 80 divisors (see below), whose sum is σ = 116717568. Its totient is φ = 12737088.

The previous prime is 45077623. The next prime is 45077639. The reversal of 45077634 is 43677054.

45077634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45077639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143862 + ... + 144174.

Almost surely, 245077634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45077634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58358784).

45077634 is an abundant number, since it is smaller than the sum of its proper divisors (71639934).

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

45077634 is a wasteful number, since it uses less digits than its factorization.

45077634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45077634 is about 6713.9879356460. The cubic root of 45077634 is about 355.8937580122.

The spelling of 45077634 in words is "forty-five million, seventy-seven thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 127 162 189 254 313 378 381 567 626 762 889 939 1134 1143 1778 1878 2191 2286 2667 2817 3429 4382 5334 5634 6573 6858 8001 8451 10287 13146 16002 16902 19719 20574 24003 25353 39438 39751 48006 50706 59157 72009 79502 118314 119253 144018 177471 238506 278257 354942 357759 556514 715518 834771 1073277 1669542 2146554 2504313 3219831 5008626 6439662 7512939 15025878 22538817 45077634