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168631944 = 233132272381
BaseRepresentation
bin10100000110100…
…01111010001000
3102202022101112120
422003101322020
5321132210234
624422211240
74115230215
oct1203217210
9382271476
10168631944
1187208748
1248583b20
1328c23720
1418578b0c
15ec10049
hexa0d1e88

168631944 has 64 divisors (see below), whose sum is σ = 456200640. Its totient is φ = 51636480.

The previous prime is 168631943. The next prime is 168631951. The reversal of 168631944 is 449136861.

It is a junction number, because it is equal to n+sod(n) for n = 168631896 and 168631905.

It is not an unprimeable number, because it can be changed into a prime (168631943) 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, 69634 + ... + 72014.

It is an arithmetic number, because the mean of its divisors is an integer number (7128135).

Almost surely, 2168631944 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 168631944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228100320).

168631944 is an abundant number, since it is smaller than the sum of its proper divisors (287568696).

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

168631944 is a wasteful number, since it uses less digits than its factorization.

168631944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2626 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 168631944 is about 12985.8362841983. The cubic root of 168631944 is about 552.4758289488.

The spelling of 168631944 in words is "one hundred sixty-eight million, six hundred thirty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 227 312 454 681 908 1362 1816 2381 2724 2951 4762 5448 5902 7143 8853 9524 11804 14286 17706 19048 23608 28572 30953 35412 57144 61906 70824 92859 123812 185718 247624 371436 540487 742872 1080974 1621461 2161948 3242922 4323896 6485844 7026331 12971688 14052662 21078993 28105324 42157986 56210648 84315972 168631944