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45940636 = 2272317561
BaseRepresentation
bin1010111100111…
…1111110011100
310012110000201001
42233033332130
543230100021
64320400044
71065326500
oct257177634
9105400631
1045940636
1123a28975
1213476024
139696811
14615c300
154077091
hex2bcff9c

45940636 has 36 divisors (see below), whose sum is σ = 96551616. Its totient is φ = 19051200.

The previous prime is 45940619. The next prime is 45940639. The reversal of 45940636 is 63604954.

45940636 = T63 + T64 + ... + T650.

It is a happy number.

It is a super-2 number, since 2×459406362 = 4221084072168992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45940595 and 45940604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45940639) 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, 2296 + ... + 9856.

Almost surely, 245940636 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 45940636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48275808).

45940636 is an abundant number, since it is smaller than the sum of its proper divisors (50610980).

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

45940636 is a wasteful number, since it uses less digits than its factorization.

45940636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 45940636 is about 6777.9521981200. The cubic root of 45940636 is about 358.1505873775.

The spelling of 45940636 in words is "forty-five million, nine hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 1519 3038 6076 7561 15122 30244 52927 105854 211708 234391 370489 468782 740978 937564 1481956 1640737 3281474 6562948 11485159 22970318 45940636