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45641016 = 2333239187
BaseRepresentation
bin1010111000011…
…0110100111000
310011212210201000
42232012310320
543141003031
64310125000
71062641121
oct256066470
9104783630
1045641016
1123843853
1213350760
1395c0325
1460c1048
1540183e6
hex2b86d38

45641016 has 64 divisors (see below), whose sum is σ = 132307200. Its totient is φ = 14550624.

The previous prime is 45641009. The next prime is 45641023. The reversal of 45641016 is 61014654.

45641016 is a `hidden beast` number, since 4 + 5 + 641 + 0 + 16 = 666.

45641016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45641009) and next prime (45641023).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 375 + ... + 9561.

It is an arithmetic number, because the mean of its divisors is an integer number (2067300).

Almost surely, 245641016 is an apocalyptic number.

45641016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45641016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66153600).

45641016 is an abundant number, since it is smaller than the sum of its proper divisors (86666184).

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

45641016 is a wasteful number, since it uses less digits than its factorization.

45641016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45641016 is about 6755.8134965376. The cubic root of 45641016 is about 357.3702817231.

The spelling of 45641016 in words is "forty-five million, six hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 9187 18374 27561 36748 55122 73496 82683 110244 165366 211301 220488 248049 330732 422602 496098 633903 661464 845204 992196 1267806 1690408 1901709 1984392 2535612 3803418 5071224 5705127 7606836 11410254 15213672 22820508 45641016