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147853026 = 234973
BaseRepresentation
bin10001101000000…
…00111011100010
3101022012201020000
420310000323202
5300322244101
622401000430
73443505246
oct1064007342
9338181200
10147853026
1176506192
1241623116
13248298c9
14158ca426
15cea8486
hex8d00ee2

147853026 has 40 divisors (see below), whose sum is σ = 334751340. Its totient is φ = 48776256.

The previous prime is 147853007. The next prime is 147853033. The reversal of 147853026 is 620358741.

It can be written as a sum of positive squares in 2 ways, for example, as 117614025 + 30239001 = 10845^2 + 5499^2 .

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1524210 + ... + 1524306.

Almost surely, 2147853026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147853026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167375670).

147853026 is an abundant number, since it is smaller than the sum of its proper divisors (186898314).

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

147853026 is an frugal number, since it uses more digits than its factorization.

147853026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 147853026 is about 12159.4829659817. The cubic root of 147853026 is about 528.7820925142.

Multiplying 147853026 by its sum of digits (36), we get a cube (5322708936 = 17463).

The spelling of 147853026 in words is "one hundred forty-seven million, eight hundred fifty-three thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 97 162 194 291 582 873 1746 2619 5238 7857 9409 15714 18818 28227 56454 84681 169362 254043 508086 762129 912673 1524258 1825346 2738019 5476038 8214057 16428114 24642171 49284342 73926513 147853026