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73090242 = 23317103773
BaseRepresentation
bin1000101101101…
…00010011000010
312002112100222000
410112310103002
5122202341432
611130324430
71545154041
oct426642302
9162470860
1073090242
1138291865
1220589716
13121b1284
1499c8558
15663b57c
hex45b44c2

73090242 has 64 divisors (see below), whose sum is σ = 173871360. Its totient is φ = 22678272.

The previous prime is 73090229. The next prime is 73090267. The reversal of 73090242 is 24209037.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 94168 + ... + 94940.

It is an arithmetic number, because the mean of its divisors is an integer number (2716740).

Almost surely, 273090242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73090242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86935680).

73090242 is an abundant number, since it is smaller than the sum of its proper divisors (100781118).

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

73090242 is a wasteful number, since it uses less digits than its factorization.

73090242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73090242 is about 8549.2831278418. The cubic root of 73090242 is about 418.1060642152.

Adding to 73090242 its reverse (24209037), we get a palindrome (97299279).

The spelling of 73090242 in words is "seventy-three million, ninety thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 103 153 206 306 309 459 618 773 918 927 1546 1751 1854 2319 2781 3502 4638 5253 5562 6957 10506 13141 13914 15759 20871 26282 31518 39423 41742 47277 78846 79619 94554 118269 159238 236538 238857 354807 477714 709614 716571 1353523 1433142 2149713 2707046 4060569 4299426 8121138 12181707 24363414 36545121 73090242