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74445560 = 2357972741
BaseRepresentation
bin1000110111111…
…11001011111000
312012002020002222
410123333023320
5123024224220
611215343212
71562530310
oct433771370
9165066088
1074445560
1139028062
1220b21b08
1312567137
149c5c440
156807e25
hex46ff2f8

74445560 has 64 divisors (see below), whose sum is σ = 193475520. Its totient is φ = 25251840.

The previous prime is 74445557. The next prime is 74445577. The reversal of 74445560 is 6554447.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 74445560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25790 + ... + 28530.

It is an arithmetic number, because the mean of its divisors is an integer number (3023055).

Almost surely, 274445560 is an apocalyptic number.

74445560 is a gapful number since it is divisible by the number (70) 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 74445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96737760).

74445560 is an abundant number, since it is smaller than the sum of its proper divisors (119029960).

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

74445560 is a wasteful number, since it uses less digits than its factorization.

74445560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 74445560 is about 8628.1840499609. The cubic root of 74445560 is about 420.6745773323.

The spelling of 74445560 in words is "seventy-four million, four hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2716 2741 3395 3880 5432 5482 6790 10964 13580 13705 19187 21928 27160 27410 38374 54820 76748 95935 109640 153496 191870 265877 383740 531754 767480 1063508 1329385 1861139 2127016 2658770 3722278 5317540 7444556 9305695 10635080 14889112 18611390 37222780 74445560