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45940158 = 23211673463
BaseRepresentation
bin1010111100111…
…1110110111110
310012110000001100
42233033312332
543230041113
64320353530
71065325215
oct257176676
9105400040
1045940158
1123a28580
12134758a6
139696534
14615c07c
154076d73
hex2bcfdbe

45940158 has 48 divisors (see below), whose sum is σ = 110238336. Its totient is φ = 13709520.

The previous prime is 45940151. The next prime is 45940187. The reversal of 45940158 is 85104954.

It is a super-2 number, since 2×459401582 = 4220996234129928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45940151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11535 + ... + 14997.

It is an arithmetic number, because the mean of its divisors is an integer number (2296632).

Almost surely, 245940158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45940158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55119168).

45940158 is an abundant number, since it is smaller than the sum of its proper divisors (64298178).

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

45940158 is a wasteful number, since it uses less digits than its factorization.

45940158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45940158 is about 6777.9169366406. The cubic root of 45940158 is about 358.1493452196.

The spelling of 45940158 in words is "forty-five million, nine hundred forty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 3463 4422 6633 6926 10389 13266 20778 31167 38093 62334 76186 114279 228558 232021 342837 464042 685674 696063 1392126 2088189 2552231 4176378 5104462 7656693 15313386 22970079 45940158