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45946614 = 23721729317
BaseRepresentation
bin1010111101000…
…1011011110110
310012110022220110
42233101123312
543230242424
64320443450
71065353100
oct257213366
9105408813
1045946614
1123a3240a
1213479586
13969945c
146160570
154078c29
hex2bd16f6

45946614 has 96 divisors (see below), whose sum is σ = 117456480. Its totient is φ = 11891712.

The previous prime is 45946613. The next prime is 45946627. The reversal of 45946614 is 41664954.

It is a super-2 number, since 2×459466142 = 4222182676129992, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45946613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144784 + ... + 145100.

It is an arithmetic number, because the mean of its divisors is an integer number (1223505).

Almost surely, 245946614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45946614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728240).

45946614 is an abundant number, since it is smaller than the sum of its proper divisors (71509866).

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

45946614 is a wasteful number, since it uses less digits than its factorization.

45946614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 45946614 is about 6778.3931724266. The cubic root of 45946614 is about 358.1661214199.

The spelling of 45946614 in words is "forty-five million, nine hundred forty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 49 51 58 87 98 102 119 147 174 203 238 294 317 357 406 493 609 634 714 833 951 986 1218 1421 1479 1666 1902 2219 2499 2842 2958 3451 4263 4438 4998 5389 6657 6902 8526 9193 10353 10778 13314 15533 16167 18386 20706 24157 27579 31066 32334 37723 46599 48314 55158 64351 72471 75446 93198 113169 128702 144942 156281 193053 226338 264061 312562 386106 450457 468843 528122 792183 900914 937686 1093967 1351371 1584366 2187934 2702742 3281901 6563802 7657769 15315538 22973307 45946614