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74644944 = 243111091297
BaseRepresentation
bin1000111001011…
…11110111010000
312012110100121120
410130233313100
5123102114234
611223522240
71564320513
oct434576720
9165410546
1074644944
1139153940
1220bb9380
1312606b0a
149cb0d7a
156847049
hex472fdd0

74644944 has 80 divisors (see below), whose sum is σ = 212456640. Its totient is φ = 22394880.

The previous prime is 74644937. The next prime is 74644949. The reversal of 74644944 is 44944647.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 74644896 and 74644905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74644949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56904 + ... + 58200.

It is an arithmetic number, because the mean of its divisors is an integer number (2655708).

Almost surely, 274644944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74644944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106228320).

74644944 is an abundant number, since it is smaller than the sum of its proper divisors (137811696).

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

74644944 is a wasteful number, since it uses less digits than its factorization.

74644944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1422 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 74644944 is about 8639.7305513540. The cubic root of 74644944 is about 421.0498001169.

The spelling of 74644944 in words is "seventy-four million, six hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 654 872 1199 1297 1308 1744 2398 2594 2616 3597 3891 4796 5188 5232 7194 7782 9592 10376 14267 14388 15564 19184 20752 28534 28776 31128 42801 57068 57552 62256 85602 114136 141373 171204 228272 282746 342408 424119 565492 684816 848238 1130984 1555103 1696476 2261968 3110206 3392952 4665309 6220412 6785904 9330618 12440824 18661236 24881648 37322472 74644944