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74810912 = 251121392
BaseRepresentation
bin1000111010110…
…00011000100000
312012202210021112
410131120120200
5123122422122
611231242452
71565611421
oct435303040
9165683245
1074810912
1139257600
1221079428
1312664517
149d15648
15687b2e2
hex4758620

74810912 has 54 divisors (see below), whose sum is σ = 163063719. Its totient is φ = 33760320.

The previous prime is 74810899. The next prime is 74810917. The reversal of 74810912 is 21901847.

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 only one way, i.e., 37405456 + 37405456 = 6116^2 + 6116^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6116.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74810917) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 538139 + ... + 538277.

Almost surely, 274810912 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 74810912

74810912 is an abundant number, since it is smaller than the sum of its proper divisors (88252807).

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

74810912 is a wasteful number, since it uses less digits than its factorization.

74810912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 74810912 is about 8649.3301474738. The cubic root of 74810912 is about 421.3616277354.

Multiplying 74810912 by its sum of digits (32), we get a square (2393949184 = 489282).

74810912 divided by its sum of digits (32) gives a square (2337841 = 15292).

The spelling of 74810912 in words is "seventy-four million, eight hundred ten thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 139 176 242 278 352 484 556 968 1112 1529 1936 2224 3058 3872 4448 6116 12232 16819 19321 24464 33638 38642 48928 67276 77284 134552 154568 212531 269104 309136 425062 538208 618272 850124 1700248 2337841 3400496 4675682 6800992 9351364 18702728 37405456 74810912