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74386480 = 2457132833
BaseRepresentation
bin1000110111100…
…00110000110000
312011222020001211
410123300300300
5123020331410
611214205504
71562163130
oct433606060
9164866054
1074386480
1138a97733
1220ab3894
131254628c
149c44ac0
1567e568a
hex46f0c30

74386480 has 40 divisors (see below), whose sum is σ = 197656992. Its totient is φ = 25503744.

The previous prime is 74386471. The next prime is 74386483. The reversal of 74386480 is 8468347.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (74386483) 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 7 ways as a sum of consecutive naturals, for example, 65857 + ... + 66976.

Almost surely, 274386480 is an apocalyptic number.

74386480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

74386480 is an abundant number, since it is smaller than the sum of its proper divisors (123270512).

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

74386480 is a wasteful number, since it uses less digits than its factorization.

74386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132853 (or 132847 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 74386480 is about 8624.7597067976. The cubic root of 74386480 is about 420.5632654265.

The spelling of 74386480 in words is "seventy-four million, three hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 132833 265666 531332 664165 929831 1062664 1328330 1859662 2125328 2656660 3719324 4649155 5313320 7438648 9298310 10626640 14877296 18596620 37193240 74386480