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45977412 = 223132910163
BaseRepresentation
bin1010111101100…
…0111101000100
310012111220011010
42233120331010
543232234122
64321242220
71065541635
oct257307504
9105456133
1045977412
1123a53568
1213493370
1396aa490
14616b88c
154082e0c
hex2bd8f44

45977412 has 48 divisors (see below), whose sum is σ = 119528640. Its totient is φ = 13657728.

The previous prime is 45977389. The next prime is 45977413. The reversal of 45977412 is 21477954.

It is a super-2 number, since 2×459774122 = 4227844828435488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45977413) 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, 558 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (2490180).

Almost surely, 245977412 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 45977412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59764320).

45977412 is an abundant number, since it is smaller than the sum of its proper divisors (73551228).

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

45977412 is a wasteful number, since it uses less digits than its factorization.

45977412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10210 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 45977412 is about 6780.6645691997. The cubic root of 45977412 is about 358.2461297565.

The spelling of 45977412 in words is "forty-five million, nine hundred seventy-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 10163 20326 30489 40652 60978 121956 132119 264238 294727 396357 528476 589454 792714 884181 1178908 1585428 1768362 3536724 3831451 7662902 11494353 15325804 22988706 45977412