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74225632 = 25131131579
BaseRepresentation
bin1000110110010…
…01011111100000
312011200001102111
410123021133200
5123000210012
611210525104
71560623155
oct433113740
9164601374
1074225632
11389978a8
1220a36794
13124bacc0
149c0222c
1567b2ba7
hex46c97e0

74225632 has 48 divisors (see below), whose sum is σ = 158865840. Its totient is φ = 33933312.

The previous prime is 74225629. The next prime is 74225639. The reversal of 74225632 is 23652247.

It is a junction number, because it is equal to n+sod(n) for n = 74225594 and 74225603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74225639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46219 + ... + 47797.

It is an arithmetic number, because the mean of its divisors is an integer number (3309705).

Almost surely, 274225632 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 74225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432920).

74225632 is an abundant number, since it is smaller than the sum of its proper divisors (84640208).

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

74225632 is a wasteful number, since it uses less digits than its factorization.

74225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1707 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 74225632 is about 8615.4298790020. The cubic root of 74225632 is about 420.2599147058.

Adding to 74225632 its reverse (23652247), we get a palindrome (97877879).

The spelling of 74225632 in words is "seventy-four million, two hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 113 208 226 416 452 904 1469 1579 1808 2938 3158 3616 5876 6316 11752 12632 20527 23504 25264 41054 47008 50528 82108 164216 178427 328432 356854 656864 713708 1427416 2319551 2854832 4639102 5709664 9278204 18556408 37112816 74225632