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45877420 = 2252983953
BaseRepresentation
bin1010111100000…
…0100010101100
310012022210222201
42233000202230
543221034140
64315151244
71064644261
oct257004254
9105283881
1045877420
1123995426
1213445524
139673b04
146143268
15406349a
hex2bc08ac

45877420 has 48 divisors (see below), whose sum is σ = 100971360. Its totient is φ = 17486336.

The previous prime is 45877409. The next prime is 45877421. The reversal of 45877420 is 2477854.

It is a self number, because there is not a number n which added to its sum of digits gives 45877420.

It is not an unprimeable number, because it can be changed into a prime (45877421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47664 + ... + 48616.

It is an arithmetic number, because the mean of its divisors is an integer number (2103570).

Almost surely, 245877420 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 45877420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50485680).

45877420 is an abundant number, since it is smaller than the sum of its proper divisors (55093940).

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

45877420 is a wasteful number, since it uses less digits than its factorization.

45877420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 45877420 is about 6773.2872373760. The cubic root of 45877420 is about 357.9862358554.

The spelling of 45877420 in words is "forty-five million, eight hundred seventy-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 83 116 145 166 290 332 415 580 830 953 1660 1906 2407 3812 4765 4814 9530 9628 12035 19060 24070 27637 48140 55274 79099 110548 138185 158198 276370 316396 395495 552740 790990 1581980 2293871 4587742 9175484 11469355 22938710 45877420