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73496142 = 23219311691
BaseRepresentation
bin1000110000101…
…11011001001110
312010021222202100
410120113121032
5122303334032
611143135530
71551464316
oct430273116
9163258670
1073496142
1138539815
12207445a6
13122c3c55
149a92446
1566bb97c
hex461764e

73496142 has 48 divisors (see below), whose sum is σ = 168405120. Its totient is φ = 23101200.

The previous prime is 73496141. The next prime is 73496173. The reversal of 73496142 is 24169437.

73496142 is a `hidden beast` number, since 7 + 34 + 9 + 614 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73496097 and 73496106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73496141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106017 + ... + 106707.

It is an arithmetic number, because the mean of its divisors is an integer number (3508440).

Almost surely, 273496142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73496142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84202560).

73496142 is an abundant number, since it is smaller than the sum of its proper divisors (94908978).

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

73496142 is a wasteful number, since it uses less digits than its factorization.

73496142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1026 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 73496142 is about 8572.9890936592. The cubic root of 73496142 is about 418.8786072047.

The spelling of 73496142 in words is "seventy-three million, four hundred ninety-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 311 342 622 691 933 1382 1866 2073 2799 4146 5598 5909 6219 11818 12438 13129 17727 26258 35454 39387 53181 78774 106362 118161 214901 236322 429802 644703 1289406 1934109 3868218 4083119 8166238 12249357 24498714 36748071 73496142