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74950416 = 24321721801
BaseRepresentation
bin1000111011110…
…10011100010000
312020000212122100
410131322130100
5123141403131
611234240400
71600032222
oct435723420
9166025570
1074950416
11393423a2
1221126100
13126b2b78
149d50412
1568a77e6
hex477a710

74950416 has 90 divisors (see below), whose sum is σ = 222945242. Its totient is φ = 23500800.

The previous prime is 74950409. The next prime is 74950417. The reversal of 74950416 is 61405947.

It can be written as a sum of positive squares in 3 ways, for example, as 15968016 + 58982400 = 3996^2 + 7680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74950417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40716 + ... + 42516.

Almost surely, 274950416 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 74950416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111472621).

74950416 is an abundant number, since it is smaller than the sum of its proper divisors (147994826).

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

74950416 is a wasteful number, since it uses less digits than its factorization.

74950416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 74950416 is about 8657.3908309606. The cubic root of 74950416 is about 421.6233771290.

The spelling of 74950416 in words is "seventy-four million, nine hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 1801 2312 2448 2601 3468 3602 4624 5202 5403 6936 7204 10404 10806 13872 14408 16209 20808 21612 28816 30617 32418 41616 43224 61234 64836 86448 91851 122468 129672 183702 244936 259344 275553 367404 489872 520489 551106 734808 1040978 1102212 1469616 1561467 2081956 2204424 3122934 4163912 4408848 4684401 6245868 8327824 9368802 12491736 18737604 24983472 37475208 74950416