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74833830 = 23251759829
BaseRepresentation
bin1000111010111…
…01111110100110
312012210221201100
410131131332212
5123124140310
611231540530
71566035301
oct435357646
9165727640
1074833830
1139272845
122108a746
1312671a96
149d1db38
156882ec0
hex475dfa6

74833830 has 96 divisors (see below), whose sum is σ = 209757600. Its totient is φ = 18441216.

The previous prime is 74833807. The next prime is 74833831. The reversal of 74833830 is 3833847.

It is a super-2 number, since 2×748338302 = 11200204224937800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74833831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89856 + ... + 90684.

It is an arithmetic number, because the mean of its divisors is an integer number (2184975).

Almost surely, 274833830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74833830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104878800).

74833830 is an abundant number, since it is smaller than the sum of its proper divisors (134923770).

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

74833830 is a wasteful number, since it uses less digits than its factorization.

74833830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74833830 is about 8650.6548885041. The cubic root of 74833830 is about 421.4046507811.

The spelling of 74833830 in words is "seventy-four million, eight hundred thirty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 59 85 90 102 118 153 170 177 255 295 306 354 510 531 590 765 829 885 1003 1062 1530 1658 1770 2006 2487 2655 3009 4145 4974 5015 5310 6018 7461 8290 9027 10030 12435 14093 14922 15045 18054 24870 28186 30090 37305 42279 45135 48911 70465 74610 84558 90270 97822 126837 140930 146733 211395 244555 253674 293466 422790 440199 489110 634185 733665 831487 880398 1268370 1467330 1662974 2200995 2494461 4157435 4401990 4988922 7483383 8314870 12472305 14966766 24944610 37416915 74833830