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147172746 = 23719434289
BaseRepresentation
bin10001100010110…
…10110110001010
3101020221011001110
420301122312022
5300134011441
622334231150
73434643030
oct1061326612
9336834043
10147172746
1176091076
12413554b6
132464c086
1415790550
15cdc1b16
hex8c5ad8a

147172746 has 64 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 38900736.

The previous prime is 147172733. The next prime is 147172747. The reversal of 147172746 is 647271741.

147172746 is a nontrivial binomial coefficient, being equal to C(17157, 2).

It is not an unprimeable number, because it can be changed into a prime (147172747) 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 31 ways as a sum of consecutive naturals, for example, 32170 + ... + 36458.

It is an arithmetic number, because the mean of its divisors is an integer number (5662800).

Almost surely, 2147172746 is an apocalyptic number.

147172746 is the 17156-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147172746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

147172746 is an abundant number, since it is smaller than the sum of its proper divisors (215246454).

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

147172746 is a wasteful number, since it uses less digits than its factorization.

147172746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363.

The product of its digits is 65856, while the sum is 39.

The square root of 147172746 is about 12131.4774862751. The cubic root of 147172746 is about 527.9698602516.

The spelling of 147172746 in words is "one hundred forty-seven million, one hundred seventy-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 258 266 301 399 602 798 817 903 1634 1806 2451 4289 4902 5719 8578 11438 12867 17157 25734 30023 34314 60046 81491 90069 162982 180138 184427 244473 368854 488946 553281 570437 1106562 1140874 1290989 1711311 2581978 3422622 3504113 3872967 7008226 7745934 10512339 21024678 24528791 49057582 73586373 147172746