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45136064 = 262983293
BaseRepresentation
bin1010110000101…
…1100011000000
310010221011001002
42230023203000
543023323224
64251231132
71055436011
oct254134300
9103834032
1045136064
1123529436
12131484a8
13947453c
145dcd008
153e689ae
hex2b0b8c0

45136064 has 56 divisors (see below), whose sum is σ = 94091760. Its totient is φ = 21453824.

The previous prime is 45136009. The next prime is 45136073. The reversal of 45136064 is 46063154.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153902 + ... + 154194.

It is an arithmetic number, because the mean of its divisors is an integer number (1680210).

Almost surely, 245136064 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 45136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47045880).

45136064 is an abundant number, since it is smaller than the sum of its proper divisors (48955696).

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

45136064 is a wasteful number, since it uses less digits than its factorization.

45136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 45136064 is about 6718.3378896867. The cubic root of 45136064 is about 356.0474624259.

The spelling of 45136064 in words is "forty-five million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 83 116 166 232 293 332 464 586 664 928 1172 1328 1856 2344 2407 2656 4688 4814 5312 8497 9376 9628 16994 18752 19256 24319 33988 38512 48638 67976 77024 97276 135952 154048 194552 271904 389104 543808 705251 778208 1410502 1556416 2821004 5642008 11284016 22568032 45136064