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161829424 = 2431509641
BaseRepresentation
bin10011010010101…
…01001000110000
3102021111210020101
421221111020300
5312412020144
624020322144
74003345621
oct1151251060
9367453211
10161829424
1183391929
1246243354
13276b1373
14176c7a48
15e3196d4
hex9a55230

161829424 has 40 divisors (see below), whose sum is σ = 324800640. Its totient is φ = 78028800.

The previous prime is 161829397. The next prime is 161829431. The reversal of 161829424 is 424928161.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 252144 + ... + 252784.

It is an arithmetic number, because the mean of its divisors is an integer number (8120016).

Almost surely, 2161829424 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 161829424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162400320).

161829424 is an abundant number, since it is smaller than the sum of its proper divisors (162971216).

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

161829424 is a wasteful number, since it uses less digits than its factorization.

161829424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 161829424 is about 12721.2194384029. The cubic root of 161829424 is about 544.9447790753.

The spelling of 161829424 in words is "one hundred sixty-one million, eight hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 509 641 1018 1282 2036 2564 4072 5128 8144 10256 15779 19871 31558 39742 63116 79484 126232 158968 252464 317936 326269 652538 1305076 2610152 5220304 10114339 20228678 40457356 80914712 161829424