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147930288 = 24311503557
BaseRepresentation
bin10001101000100…
…11110010110000
3101022100122012120
420310103302300
5300332232123
622402354240
73444246432
oct1064236260
9338318176
10147930288
1176559240
124165b980
1324855b1c
141590a652
15cec12e3
hex8d13cb0

147930288 has 80 divisors (see below), whose sum is σ = 418473216. Its totient is φ = 44657920.

The previous prime is 147930283. The next prime is 147930301. The reversal of 147930288 is 882039741.

147930288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (147930283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265306 + ... + 265862.

Almost surely, 2147930288 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 147930288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236608).

147930288 is an abundant number, since it is smaller than the sum of its proper divisors (270542928).

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

147930288 is a wasteful number, since it uses less digits than its factorization.

147930288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 147930288 is about 12162.6595775760. The cubic root of 147930288 is about 528.8741831730.

The spelling of 147930288 in words is "one hundred forty-seven million, nine hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 503 528 557 1006 1114 1509 1671 2012 2228 3018 3342 4024 4456 5533 6036 6127 6684 8048 8912 11066 12072 12254 13368 16599 18381 22132 24144 24508 26736 33198 36762 44264 49016 66396 73524 88528 98032 132792 147048 265584 280171 294096 560342 840513 1120684 1681026 2241368 3081881 3362052 4482736 6163762 6724104 9245643 12327524 13448208 18491286 24655048 36982572 49310096 73965144 147930288