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74889472 = 28723279
BaseRepresentation
bin1000111011010…
…11100100000000
312012220210001011
410131223210000
5123132430342
611233050304
71566356440
oct435534400
9165823034
1074889472
1139300629
12210b6994
13126911c8
149d36120
156894717
hex476b900

74889472 has 108 divisors (see below), whose sum is σ = 180853120. Its totient is φ = 30311424.

The previous prime is 74889461. The next prime is 74889473. The reversal of 74889472 is 27498847.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74889473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947929 + ... + 948007.

Almost surely, 274889472 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 74889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90426560).

74889472 is an abundant number, since it is smaller than the sum of its proper divisors (105963648).

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

74889472 is an equidigital number, since it uses as much as digits as its factorization.

74889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 74889472 is about 8653.8703480004. The cubic root of 74889472 is about 421.5090687451.

The spelling of 74889472 in words is "seventy-four million, eight hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 79 92 112 128 158 161 184 224 256 316 322 368 448 529 553 632 644 736 896 1058 1106 1264 1288 1472 1792 1817 2116 2212 2528 2576 2944 3634 3703 4232 4424 5056 5152 5888 7268 7406 8464 8848 10112 10304 12719 14536 14812 16928 17696 20224 20608 25438 29072 29624 33856 35392 41216 41791 50876 58144 59248 67712 70784 83582 101752 116288 118496 135424 141568 167164 203504 232576 236992 292537 334328 407008 465152 473984 585074 668656 814016 947968 1170148 1337312 1628032 2340296 2674624 3256064 4680592 5349248 9361184 10698496 18722368 37444736 74889472