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164246742 = 232113126759
BaseRepresentation
bin10011100101000…
…11010011010110
3102110001121011200
421302203103112
5314021343432
624144213330
74033034322
oct1162432326
9373047150
10164246742
1184793010
124700a246
132804972a
1417b56982
15e645a7c
hex9ca34d6

164246742 has 48 divisors (see below), whose sum is σ = 400757760. Its totient is φ = 48164400.

The previous prime is 164246701. The next prime is 164246801. The reversal of 164246742 is 247642461.

164246742 is a `hidden beast` number, since 1 + 642 + 4 + 6 + 7 + 4 + 2 = 666.

164246742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1642467422 = 53953984515229128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164246697 and 164246706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7242 + ... + 19517.

It is an arithmetic number, because the mean of its divisors is an integer number (8349120).

Almost surely, 2164246742 is an apocalyptic number.

164246742 is an abundant number, since it is smaller than the sum of its proper divisors (236511018).

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

164246742 is a wasteful number, since it uses less digits than its factorization.

164246742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26809 (or 26806 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 164246742 is about 12815.8785106601. The cubic root of 164246742 is about 547.6447406149.

It can be divided in two parts, 1642 and 46742, that added together give a palindrome (48384).

The spelling of 164246742 in words is "one hundred sixty-four million, two hundred forty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 26759 53518 80277 160554 240831 294349 481662 588698 829529 883047 1659058 1766094 2488587 2649141 4977174 5298282 7465761 9124819 14931522 18249638 27374457 54748914 82123371 164246742