Search a number
-
+
74090744 = 2373133167
BaseRepresentation
bin1000110101010…
…00100011111000
312011102012101122
410122220203320
5122431400434
611204004412
71556522000
oct432504370
9164365348
1074090744
1138905522
1220990708
13124717a0
149ba9000
156787c2e
hex46a88f8

74090744 has 128 divisors (see below), whose sum is σ = 182784000. Its totient is φ = 27941760.

The previous prime is 74090689. The next prime is 74090773. The reversal of 74090744 is 44709047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105799 + ... + 1105865.

It is an arithmetic number, because the mean of its divisors is an integer number (1428000).

Almost surely, 274090744 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 74090744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91392000).

74090744 is an abundant number, since it is smaller than the sum of its proper divisors (108693256).

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

74090744 is a wasteful number, since it uses less digits than its factorization.

74090744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 74090744 is about 8607.5980389421. The cubic root of 74090744 is about 420.0051851212.

The spelling of 74090744 in words is "seventy-four million, ninety thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 67 91 98 104 124 134 182 196 217 248 268 343 364 392 403 434 469 536 637 686 728 806 868 871 938 1274 1372 1519 1612 1736 1742 1876 2077 2548 2744 2821 3038 3224 3283 3484 3752 4154 4459 5096 5642 6076 6097 6566 6968 8308 8918 10633 11284 12152 12194 13132 14539 16616 17836 19747 21266 22568 22981 24388 26264 27001 29078 35672 39494 42532 42679 45962 48776 54002 58156 78988 85064 85358 91924 101773 108004 116312 138229 157976 170716 183848 189007 203546 216008 276458 298753 341432 378014 407092 552916 597506 712411 756028 814184 1105832 1195012 1323049 1424822 1512056 2390024 2646098 2849644 5292196 5699288 9261343 10584392 18522686 37045372 74090744