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147029892 = 22323677951
BaseRepresentation
bin10001100001101…
…11111110000100
3101020122220002120
420300313332010
5300114424032
622331205540
73433506402
oct1060677604
9336586076
10147029892
1175aa3809
12412a68b0
13245cc049
1415754472
15cd9462c
hex8c37f84

147029892 has 48 divisors (see below), whose sum is σ = 363374592. Its totient is φ = 46173600.

The previous prime is 147029873. The next prime is 147029893. The reversal of 147029892 is 298920741.

147029892 is digitally balanced in base 2, 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 (147029893) 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, 14517 + ... + 22467.

It is an arithmetic number, because the mean of its divisors is an integer number (7570304).

Almost surely, 2147029892 is an apocalyptic number.

147029892 is a gapful number since it is divisible by the number (12) 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 147029892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181687296).

147029892 is an abundant number, since it is smaller than the sum of its proper divisors (216344700).

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

147029892 is a wasteful number, since it uses less digits than its factorization.

147029892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 147029892 is about 12125.5883156241. The cubic root of 147029892 is about 527.7989793769.

The spelling of 147029892 in words is "one hundred forty-seven million, twenty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1541 3082 4623 6164 7951 9246 15902 18492 23853 31804 47706 95412 182873 365746 532717 548619 731492 1065434 1097238 1598151 2130868 2194476 3196302 6392604 12252491 24504982 36757473 49009964 73514946 147029892