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147642416 = 24174711549
BaseRepresentation
bin10001100110011…
…01100000110000
3101021211000022122
420303031200300
5300244024131
622352253412
73441640235
oct1063154060
9337730278
10147642416
1176381a29
1241541268
1324784a9c
141587378c
15ce65d7b
hex8ccd830

147642416 has 40 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 67994624.

The previous prime is 147642403. The next prime is 147642421. The reversal of 147642416 is 614246741.

147642416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 7010 + ... + 18558.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2147642416 is an apocalyptic number.

147642416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147642416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

147642416 is an abundant number, since it is smaller than the sum of its proper divisors (161712784).

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

147642416 is a wasteful number, since it uses less digits than its factorization.

147642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11621 (or 11615 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 147642416 is about 12150.8195608362. The cubic root of 147642416 is about 528.5308977513.

The spelling of 147642416 in words is "one hundred forty-seven million, six hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 752 799 1598 3196 6392 11549 12784 23098 46196 92392 184784 196333 392666 542803 785332 1085606 1570664 2171212 3141328 4342424 8684848 9227651 18455302 36910604 73821208 147642416