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45732414 = 23713217379
BaseRepresentation
bin1010111001110…
…1001000111110
310012001110002010
42232131020332
543201414124
64312112050
71063501440
oct256351076
9105043063
1045732414
11238a6492
1213395626
139622b00
146106490
154035529
hex2b9d23e

45732414 has 96 divisors (see below), whose sum is σ = 120165120. Its totient is φ = 11321856.

The previous prime is 45732359. The next prime is 45732433. The reversal of 45732414 is 41423754.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120477 + ... + 120855.

It is an arithmetic number, because the mean of its divisors is an integer number (1251720).

Almost surely, 245732414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45732414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082560).

45732414 is an abundant number, since it is smaller than the sum of its proper divisors (74432706).

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

45732414 is a wasteful number, since it uses less digits than its factorization.

45732414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 45732414 is about 6762.5745097559. The cubic root of 45732414 is about 357.6086721968.

The spelling of 45732414 in words is "forty-five million, seven hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 379 442 507 546 663 714 758 1014 1137 1183 1326 1547 2274 2366 2653 2873 3094 3549 4641 4927 5306 5746 6443 7098 7959 8619 9282 9854 12886 14781 15918 17238 19329 20111 29562 34489 38658 40222 45101 60333 64051 68978 83759 90202 103467 120666 128102 135303 167518 192153 206934 251277 270606 384306 448357 502554 586313 896714 1088867 1172626 1345071 1758939 2177734 2690142 3266601 3517878 6533202 7622069 15244138 22866207 45732414