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161972424 = 23322977573
BaseRepresentation
bin10011010011110…
…00000011001000
3102021210001101200
421221320003020
5312431104144
624023344200
74004512545
oct1151700310
9367701350
10161972424
118347a309
12462b2060
1327731493
1417723bcc
15e346c69
hex9a780c8

161972424 has 48 divisors (see below), whose sum is σ = 453807900. Its totient is φ = 52128384.

The previous prime is 161972423. The next prime is 161972431. The reversal of 161972424 is 424279161.

It is a happy number.

161972424 is a `hidden beast` number, since 161 + 9 + 72 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143568324 + 18404100 = 11982^2 + 4290^2 .

It is a super-2 number, since 2×1619724242 = 52470132272871552, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (161972423) 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 11 ways as a sum of consecutive naturals, for example, 36699 + ... + 40874.

Almost surely, 2161972424 is an apocalyptic number.

It is an amenable number.

161972424 is an abundant number, since it is smaller than the sum of its proper divisors (291835476).

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

161972424 is a wasteful number, since it uses less digits than its factorization.

161972424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77614 (or 77607 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 161972424 is about 12726.8387276652. The cubic root of 161972424 is about 545.1052446639.

The spelling of 161972424 in words is "one hundred sixty-one million, nine hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 77573 155146 232719 310292 465438 620584 698157 930876 1396314 1861752 2249617 2792628 4499234 5585256 6748851 8998468 13497702 17996936 20246553 26995404 40493106 53990808 80986212 161972424