Search a number
-
+
74392290 = 2335725623
BaseRepresentation
bin1000110111100…
…10001011100010
312011222112001000
410123302023202
5123021023130
611214252430
71562216100
oct433621342
9164875030
1074392290
1138aa1035
1220ab7116
1312548b0b
149c46c70
1567e7260
hex46f22e2

74392290 has 96 divisors (see below), whose sum is σ = 230808960. Its totient is φ = 17000928.

The previous prime is 74392261. The next prime is 74392301. The reversal of 74392290 is 9229347.

It is a super-2 number, since 2×743922902 = 11068425622888200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 10419 + ... + 16041.

It is an arithmetic number, because the mean of its divisors is an integer number (2404260).

Almost surely, 274392290 is an apocalyptic number.

74392290 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74392290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115404480).

74392290 is an abundant number, since it is smaller than the sum of its proper divisors (156416670).

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

74392290 is a wasteful number, since it uses less digits than its factorization.

74392290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 74392290 is about 8625.0965211991. The cubic root of 74392290 is about 420.5742145889.

The spelling of 74392290 in words is "seventy-four million, three hundred ninety-two thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 5623 6615 11246 13230 16869 28115 33738 39361 50607 56230 78722 84345 101214 118083 151821 168690 196805 236166 253035 275527 303642 354249 393610 506070 551054 590415 708498 759105 826581 1062747 1180830 1377635 1518210 1653162 1771245 2125494 2479743 2755270 3542490 4132905 4959486 5313735 7439229 8265810 10627470 12398715 14878458 24797430 37196145 74392290