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168442456 = 23713401577
BaseRepresentation
bin10100000101000…
…11101001011000
3102201221202121111
422002203221120
5321110124311
624414150104
74113510610
oct1202435130
9381852544
10168442456
1187099346
12484b2334
1328b883c0
1418529a40
15ebc3d21
hexa0a3a58

168442456 has 64 divisors (see below), whose sum is σ = 390358080. Its totient is φ = 66355200.

The previous prime is 168442453. The next prime is 168442471. The reversal of 168442456 is 654244861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168442451) 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 15 ways as a sum of consecutive naturals, for example, 291640 + ... + 292216.

It is an arithmetic number, because the mean of its divisors is an integer number (6099345).

Almost surely, 2168442456 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 168442456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195179040).

168442456 is an abundant number, since it is smaller than the sum of its proper divisors (221915624).

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

168442456 is a wasteful number, since it uses less digits than its factorization.

168442456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 168442456 is about 12978.5382844140. The cubic root of 168442456 is about 552.2688164188.

The spelling of 168442456 in words is "one hundred sixty-eight million, four hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 401 577 728 802 1154 1604 2308 2807 3208 4039 4616 5213 5614 7501 8078 10426 11228 15002 16156 20852 22456 30004 32312 36491 41704 52507 60008 72982 105014 145964 210028 231377 291928 420056 462754 925508 1619639 1851016 3007901 3239278 6015802 6478556 12031604 12957112 21055307 24063208 42110614 84221228 168442456