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74499040 = 2557116047
BaseRepresentation
bin1000111000011…
…00001111100000
312012011221110201
410130030033200
5123032432130
611220434544
71563142240
oct434141740
9165157421
1074499040
1139064260
1220b48a54
1312585595
149c73b20
156818bca
hex470c3e0

74499040 has 96 divisors (see below), whose sum is σ = 219469824. Its totient is φ = 23216640.

The previous prime is 74499037. The next prime is 74499041. The reversal of 74499040 is 4099447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74499041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9297 + ... + 15343.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 274499040 is an apocalyptic number.

74499040 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 74499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912).

74499040 is an abundant number, since it is smaller than the sum of its proper divisors (144970784).

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

74499040 is a wasteful number, since it uses less digits than its factorization.

74499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 74499040 is about 8631.2826393300. The cubic root of 74499040 is about 420.7752875751.

The spelling of 74499040 in words is "seventy-four million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6047 6160 12094 12320 24188 30235 42329 48376 60470 66517 84658 96752 120940 133034 169316 193504 211645 241880 266068 332585 338632 423290 465619 483760 532136 665170 677264 846580 931238 967520 1064272 1330340 1354528 1693160 1862476 2128544 2328095 2660680 3386320 3724952 4656190 5321360 6772640 7449904 9312380 10642720 14899808 18624760 37249520 74499040