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45530016 = 253729679
BaseRepresentation
bin1010110110101…
…1101110100000
310011200011102220
42231223232200
543123430031
64303511040
71061666400
oct255535640
9104604386
1045530016
1123778414
12132b8480
13958194c
146092800
153ee5596
hex2b6bba0

45530016 has 72 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 13007232.

The previous prime is 45530011. The next prime is 45530033. The reversal of 45530016 is 61003554.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (45530011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 245530016 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 45530016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

45530016 is an abundant number, since it is smaller than the sum of its proper divisors (93513504).

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

45530016 is a wasteful number, since it uses less digits than its factorization.

45530016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 45530016 is about 6747.5933487429. The cubic root of 45530016 is about 357.0803356308.

The spelling of 45530016 in words is "forty-five million, five hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 9679 19358 29037 38716 58074 67753 77432 116148 135506 154864 203259 232296 271012 309728 406518 464592 474271 542024 813036 929184 948542 1084048 1422813 1626072 1897084 2168096 2845626 3252144 3794168 5691252 6504288 7588336 11382504 15176672 22765008 45530016