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161246844 = 2232111929739
BaseRepresentation
bin10011001110001…
…10111001111100
3102020102012002100
421213012321330
5312234344334
624000025100
73665401263
oct1147067174
9366365070
10161246844
1183024160
1246002190
1327539145
14175b55da
15e251c99
hex99c6e7c

161246844 has 144 divisors (see below), whose sum is σ = 484848000. Its totient is φ = 44634240.

The previous prime is 161246831. The next prime is 161246849. The reversal of 161246844 is 448642161.

It is a happy number.

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 = 161246799 and 161246808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161246849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217827 + ... + 218565.

It is an arithmetic number, because the mean of its divisors is an integer number (3367000).

Almost surely, 2161246844 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 161246844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242424000).

161246844 is an abundant number, since it is smaller than the sum of its proper divisors (323601156).

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

161246844 is a wasteful number, since it uses less digits than its factorization.

161246844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 803 counting only the distinct ones).

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

The square root of 161246844 is about 12698.3008312136. The cubic root of 161246844 is about 544.2900657149.

The spelling of 161246844 in words is "one hundred sixty-one million, two hundred forty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 29 33 36 38 44 57 58 66 76 87 99 114 116 132 171 174 198 209 228 261 319 342 348 396 418 522 551 627 638 684 739 836 957 1044 1102 1254 1276 1478 1653 1881 1914 2204 2217 2508 2871 2956 3306 3762 3828 4434 4959 5742 6061 6612 6651 7524 8129 8868 9918 11484 12122 13302 14041 16258 18183 19836 21431 24244 24387 26604 28082 32516 36366 42123 42862 48774 54549 56164 64293 72732 73161 84246 85724 97548 109098 126369 128586 146322 154451 168492 192879 218196 235741 252738 257172 292644 308902 385758 407189 463353 471482 505476 617804 707223 771516 814378 926706 942964 1221567 1390059 1414446 1628756 1853412 2121669 2443134 2780118 2828892 3664701 4243338 4479079 4886268 5560236 7329402 8486676 8958158 13437237 14658804 17916316 26874474 40311711 53748948 80623422 161246844