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168942464 = 271724567
BaseRepresentation
bin10100001000111…
…01101110000000
3102202220011111022
422010131232000
5321222124324
624433005012
74120662425
oct1204355600
9382804438
10168942464
11873aaa79
12486b3768
1329001b72
1418619d4c
15ec7205e
hexa11db80

168942464 has 48 divisors (see below), whose sum is σ = 357605880. Its totient is φ = 79484928.

The previous prime is 168942461. The next prime is 168942469. The reversal of 168942464 is 464249861.

It is a super-2 number, since 2×1689424642 = 57083112284782592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168942461) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 34709 + ... + 39275.

Almost surely, 2168942464 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 168942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178802940).

168942464 is an abundant number, since it is smaller than the sum of its proper divisors (188663416).

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

168942464 is an equidigital number, since it uses as much as digits as its factorization.

168942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4586 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 168942464 is about 12997.7868885438. The cubic root of 168942464 is about 552.8147319214.

The spelling of 168942464 in words is "one hundred sixty-eight million, nine hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 2176 2312 4567 4624 9134 9248 18268 18496 36536 36992 73072 77639 146144 155278 292288 310556 584576 621112 1242224 1319863 2484448 2639726 4968896 5279452 9937792 10558904 21117808 42235616 84471232 168942464