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165048444 = 2232111724517
BaseRepresentation
bin10011101011001…
…11000001111100
3102111120022220100
421311213001330
5314223022234
624213321100
74042613541
oct1165470174
9374508810
10165048444
1185190380
1247336190
132826a602
1417cc4bc8
15e753399
hex9d6707c

165048444 has 72 divisors (see below), whose sum is σ = 481925808. Its totient is φ = 47070720.

The previous prime is 165048439. The next prime is 165048451. The reversal of 165048444 is 444840561.

It is a happy number.

165048444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1650484442 = 54481977733642272, which contains 22 as substring.

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 = 165048399 and 165048408.

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, 5527 + ... + 18990.

It is an arithmetic number, because the mean of its divisors is an integer number (6693414).

Almost surely, 2165048444 is an apocalyptic number.

It is an amenable number.

165048444 is an abundant number, since it is smaller than the sum of its proper divisors (316877364).

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

165048444 is a wasteful number, since it uses less digits than its factorization.

165048444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555 (or 24550 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 165048444 is about 12847.1181204191. The cubic root of 165048444 is about 548.5343279643.

The spelling of 165048444 in words is "one hundred sixty-five million, forty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 24517 49034 73551 98068 147102 220653 269687 294204 416789 441306 539374 809061 833578 882612 1078748 1250367 1618122 1667156 2427183 2500734 3236244 3751101 4584679 4854366 5001468 7502202 9169358 9708732 13754037 15004404 18338716 27508074 41262111 55016148 82524222 165048444