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45940068 = 2233735827
BaseRepresentation
bin1010111100111…
…1110101100100
310012102222221000
42233033311210
543230040233
64320353300
71065325026
oct257176544
9105388830
1045940068
1123a284a9
1213475830
139696495
14615c016
154076d13
hex2bcfd64

45940068 has 48 divisors (see below), whose sum is σ = 120756160. Its totient is φ = 15100992.

The previous prime is 45940067. The next prime is 45940087. The reversal of 45940068 is 86004954.

45940068 is a `hidden beast` number, since 4 + 594 + 0 + 0 + 68 = 666.

It is a super-2 number, since 2×459400682 = 4220979695689248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45940067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4971 + ... + 10797.

Almost surely, 245940068 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 45940068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60378080).

45940068 is an abundant number, since it is smaller than the sum of its proper divisors (74816092).

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

45940068 is a wasteful number, since it uses less digits than its factorization.

45940068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45940068 is about 6777.9102974294. The cubic root of 45940068 is about 358.1491113395.

The spelling of 45940068 in words is "forty-five million, nine hundred forty thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 5827 7884 11654 17481 23308 34962 52443 69924 104886 157329 209772 314658 425371 629316 850742 1276113 1701484 2552226 3828339 5104452 7656678 11485017 15313356 22970034 45940068