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168999048 = 2334416361
BaseRepresentation
bin10100001001010…
…11100010001000
3102210000001010000
422010223202020
5321230432143
624434123000
74121316411
oct1204534210
9383001100
10168999048
1187439539
1248720460
132902184a
1418632808
15ec83bd3
hexa12b888

168999048 has 80 divisors (see below), whose sum is σ = 484975260. Its totient is φ = 54950400.

The previous prime is 168999043. The next prime is 168999059. The reversal of 168999048 is 840999861.

It can be written as a sum of positive squares in 2 ways, for example, as 141562404 + 27436644 = 11898^2 + 5238^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 168998985 and 168999003.

It is not an unprimeable number, because it can be changed into a prime (168999043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23388 + ... + 29748.

Almost surely, 2168999048 is an apocalyptic number.

168999048 is a gapful number since it is divisible by the number (18) 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 168999048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242487630).

168999048 is an abundant number, since it is smaller than the sum of its proper divisors (315976212).

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

168999048 is a wasteful number, since it uses less digits than its factorization.

168999048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 168999048 is about 12999.9633845638. The cubic root of 168999048 is about 552.8764432212.

The spelling of 168999048 in words is "one hundred sixty-eight million, nine hundred ninety-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6361 6642 8856 12722 13284 19083 25444 26568 38166 50888 57249 76332 114498 152664 171747 228996 260801 343494 457992 515241 521602 686988 782403 1030482 1043204 1373976 1564806 2060964 2086408 2347209 3129612 4121928 4694418 6259224 7041627 9388836 14083254 18777672 21124881 28166508 42249762 56333016 84499524 168999048