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74381632 = 26133232
BaseRepresentation
bin1000110111011…
…11100101000000
312011221222102021
410123233211000
5123020203012
611214131224
71562143033
oct433574500
9164858367
1074381632
1138a94026
1220ab0b14
1312544000
149c4301a
1567e4007
hex46ef940

74381632 has 84 divisors (see below), whose sum is σ = 167149780. Its totient is φ = 32837376.

The previous prime is 74381611. The next prime is 74381639. The reversal of 74381632 is 23618347.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 71639296 = 1656^2 + 8464^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74381639) 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 11 ways as a sum of consecutive naturals, for example, 3233973 + ... + 3233995.

Almost surely, 274381632 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 74381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83574890).

74381632 is an abundant number, since it is smaller than the sum of its proper divisors (92768148).

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

74381632 is an equidigital number, since it uses as much as digits as its factorization.

74381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 38 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 74381632 is about 8624.4786509099. The cubic root of 74381632 is about 420.5541287527.

Adding to 74381632 its reverse (23618347), we get a palindrome (97999979).

The spelling of 74381632 in words is "seventy-four million, three hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 169 184 208 299 338 368 416 529 598 676 736 832 1058 1196 1352 1472 2116 2197 2392 2704 3887 4232 4394 4784 5408 6877 7774 8464 8788 9568 10816 13754 15548 16928 17576 19136 27508 31096 33856 35152 50531 55016 62192 70304 89401 101062 110032 124384 140608 178802 202124 220064 248768 357604 404248 440128 715208 808496 1162213 1430416 1616992 2324426 2860832 3233984 4648852 5721664 9297704 18595408 37190816 74381632