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45013536 = 253353983
BaseRepresentation
bin1010101110110…
…1101000100000
310010200220222000
42223231220200
543010413121
64244444000
71054415541
oct253555040
9103626860
1045013536
1123455377
12130a9600
139430839
145d9a4c8
153e42526
hex2aeda20

45013536 has 96 divisors (see below), whose sum is σ = 133902720. Its totient is φ = 14706432.

The previous prime is 45013523. The next prime is 45013559. The reversal of 45013536 is 63531054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45301 + ... + 46283.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 245013536 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 45013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66951360).

45013536 is an abundant number, since it is smaller than the sum of its proper divisors (88889184).

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

45013536 is a wasteful number, since it uses less digits than its factorization.

45013536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 45013536 is about 6709.2127705119. The cubic root of 45013536 is about 355.7249906572.

The spelling of 45013536 in words is "forty-five million, thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 983 1272 1431 1696 1908 1966 2544 2862 2949 3816 3932 5088 5724 5898 7632 7864 8847 11448 11796 15264 15728 17694 22896 23592 26541 31456 35388 45792 47184 52099 53082 70776 94368 104198 106164 141552 156297 208396 212328 283104 312594 416792 424656 468891 625188 833584 849312 937782 1250376 1406673 1667168 1875564 2500752 2813346 3751128 5001504 5626692 7502256 11253384 15004512 22506768 45013536