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45136764 = 223623673
BaseRepresentation
bin1010110000101…
…1101101111100
310010221012000000
42230023231330
543023334024
64251234300
71055441031
oct254135574
9103835000
1045136764
1123529a12
1213148990
13947495a
145dcd388
153e68cc9
hex2b0bb7c

45136764 has 84 divisors (see below), whose sum is σ = 123762576. Its totient is φ = 14370048.

The previous prime is 45136757. The next prime is 45136771. The reversal of 45136764 is 46763154.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45136757) and next prime (45136771).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66732 + ... + 67404.

It is an arithmetic number, because the mean of its divisors is an integer number (1473364).

Almost surely, 245136764 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 45136764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61881288).

45136764 is an abundant number, since it is smaller than the sum of its proper divisors (78625812).

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

45136764 is a wasteful number, since it uses less digits than its factorization.

45136764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45136764 is about 6718.3899857034. The cubic root of 45136764 is about 356.0493030231.

The spelling of 45136764 in words is "forty-five million, one hundred thirty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 673 729 828 972 1242 1346 1458 1863 2019 2484 2692 2916 3726 4038 5589 6057 7452 8076 11178 12114 15479 16767 18171 22356 24228 30958 33534 36342 46437 54513 61916 67068 72684 92874 109026 139311 163539 185748 218052 278622 327078 417933 490617 557244 654156 835866 981234 1253799 1671732 1962468 2507598 3761397 5015196 7522794 11284191 15045588 22568382 45136764