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74389392 = 24327116709
BaseRepresentation
bin1000110111100…
…01011110010000
312011222101001200
410123301132100
5123020430032
611214231200
71562204460
oct433613620
9164871050
1074389392
1138a99940
1220ab5500
13125476bc
149c45ba0
1567e647c
hex46f1790

74389392 has 120 divisors (see below), whose sum is σ = 259596480. Its totient is φ = 19319040.

The previous prime is 74389373. The next prime is 74389459. The reversal of 74389392 is 29398347.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7734 + ... + 14442.

It is an arithmetic number, because the mean of its divisors is an integer number (2163304).

Almost surely, 274389392 is an apocalyptic number.

74389392 is a gapful number since it is divisible by the number (72) 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 74389392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129798240).

74389392 is an abundant number, since it is smaller than the sum of its proper divisors (185207088).

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

74389392 is a wasteful number, since it uses less digits than its factorization.

74389392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6732 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 74389392 is about 8624.9285214429. The cubic root of 74389392 is about 420.5687532707.

The spelling of 74389392 in words is "seventy-four million, three hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 6709 11088 13418 20127 26836 40254 46963 53672 60381 73799 80508 93926 107344 120762 140889 147598 161016 187852 221397 241524 281778 295196 322032 375704 422667 442794 483048 516593 563556 590392 664191 751408 845334 885588 966096 1033186 1127112 1180784 1328382 1549779 1690668 1771176 2066372 2254224 2656764 3099558 3381336 3542352 4132744 4649337 5313528 6199116 6762672 8265488 9298674 10627056 12398232 18597348 24796464 37194696 74389392