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161826444 = 223313791459
BaseRepresentation
bin10011010010101…
…00011010001100
3102021111122011000
421221110122030
5312411421234
624020300300
74003334133
oct1151243214
9367448130
10161826444
118338a66a
1246241690
13276acbc0
14176c691a
15e318899
hex9a5468c

161826444 has 96 divisors (see below), whose sum is σ = 457856000. Its totient is φ = 49128768.

The previous prime is 161826433. The next prime is 161826461. The reversal of 161826444 is 444628161.

It is a happy number.

161826444 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 2 + 644 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 161826399 and 161826408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110187 + ... + 111645.

Almost surely, 2161826444 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 161826444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228928000).

161826444 is an abundant number, since it is smaller than the sum of its proper divisors (296029556).

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

161826444 is a wasteful number, since it uses less digits than its factorization.

161826444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1556 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 161826444 is about 12721.1023107276. The cubic root of 161826444 is about 544.9414341017.

The spelling of 161826444 in words is "one hundred sixty-one million, eight hundred twenty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 79 108 117 156 158 234 237 316 351 468 474 702 711 948 1027 1404 1422 1459 2054 2133 2844 2918 3081 4108 4266 4377 5836 6162 8532 8754 9243 12324 13131 17508 18486 18967 26262 27729 36972 37934 39393 52524 55458 56901 75868 78786 110916 113802 115261 157572 170703 227604 230522 341406 345783 461044 512109 682812 691566 1024218 1037349 1383132 1498393 2048436 2074698 2996786 3112047 4149396 4495179 5993572 6224094 8990358 12448188 13485537 17980716 26971074 40456611 53942148 80913222 161826444