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45912416 = 25112353107
BaseRepresentation
bin1010111100100…
…1000101100000
310012101120222212
42233021011200
543223144131
64320021252
71065151304
oct257110540
9105346885
1045912416
1123a09750
1213461828
139686a14
146151d04
15406da2b
hex2bc9160

45912416 has 96 divisors (see below), whose sum is σ = 105815808. Its totient is φ = 19402240.

The previous prime is 45912409. The next prime is 45912421. The reversal of 45912416 is 61421954.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 429035 + ... + 429141.

It is an arithmetic number, because the mean of its divisors is an integer number (1102248).

Almost surely, 245912416 is an apocalyptic number.

45912416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52907904).

45912416 is an abundant number, since it is smaller than the sum of its proper divisors (59903392).

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

45912416 is a wasteful number, since it uses less digits than its factorization.

45912416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 45912416 is about 6775.8701286255. The cubic root of 45912416 is about 358.0772385181.

It can be divided in two parts, 4591 and 2416, that added together give a palindrome (7007).

The spelling of 45912416 in words is "forty-five million, nine hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 53 88 92 106 107 176 184 212 214 253 352 368 424 428 506 583 736 848 856 1012 1166 1177 1219 1696 1712 2024 2332 2354 2438 2461 3424 4048 4664 4708 4876 4922 5671 8096 9328 9416 9752 9844 11342 13409 18656 18832 19504 19688 22684 26818 27071 37664 39008 39376 45368 53636 54142 62381 78752 90736 107272 108284 124762 130433 181472 214544 216568 249524 260866 429088 433136 499048 521732 866272 998096 1043464 1434763 1996192 2086928 2869526 4173856 5739052 11478104 22956208 45912416