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45654378 = 23721119743
BaseRepresentation
bin1010111000101…
…0000101101010
310011220111000220
42232022011222
543141420003
64310310510
71063025100
oct256120552
9104814026
1045654378
11238528a0
1213358436
1395c6433
1460c5c70
15401c353
hex2b8a16a

45654378 has 96 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 11219040.

The previous prime is 45654319. The next prime is 45654383. The reversal of 45654378 is 87345654.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 61075 + ... + 61817.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 245654378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45654378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

45654378 is an abundant number, since it is smaller than the sum of its proper divisors (76480662).

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

45654378 is a wasteful number, since it uses less digits than its factorization.

45654378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 45654378 is about 6756.8023502245. The cubic root of 45654378 is about 357.4051532502.

The spelling of 45654378 in words is "forty-five million, six hundred fifty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 49 57 66 77 98 114 133 147 154 209 231 266 294 399 418 462 539 627 743 798 931 1078 1254 1463 1486 1617 1862 2229 2793 2926 3234 4389 4458 5201 5586 8173 8778 10241 10402 14117 15603 16346 20482 24519 28234 30723 31206 36407 42351 49038 57211 61446 72814 84702 98819 109221 114422 155287 171633 197638 218442 296457 310574 343266 400477 465861 592914 691733 800954 931722 1087009 1201431 1383466 2075199 2174018 2402862 3261027 4150398 6522054 7609063 15218126 22827189 45654378