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74438500 = 2253533
BaseRepresentation
bin1000110111111…
…01011101100100
312012001212102111
410123331131210
5123024013000
611215250404
71562500603
oct433753544
9165055374
1074438500
1139022824
1220b19a04
1312563b66
149c59a3a
156805cba
hex46fd764

74438500 has 48 divisors (see below), whose sum is σ = 165700080. Its totient is φ = 29213600.

The previous prime is 74438473. The next prime is 74438513. The reversal of 74438500 is 583447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 27625536 + 46812964 = 5256^2 + 6842^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404474 + ... + 1404526.

It is an arithmetic number, because the mean of its divisors is an integer number (3452085).

Almost surely, 274438500 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 74438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82850040).

74438500 is an abundant number, since it is smaller than the sum of its proper divisors (91261580).

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

74438500 is an frugal number, since it uses more digits than its factorization.

74438500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 74438500 is about 8627.7749159328. The cubic root of 74438500 is about 420.6612787716.

The spelling of 74438500 in words is "seventy-four million, four hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 1060 1325 2650 2809 5300 5618 6625 11236 13250 14045 26500 28090 56180 70225 140450 148877 280900 297754 351125 595508 702250 744385 1404500 1488770 2977540 3721925 7443850 14887700 18609625 37219250 74438500