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73688796 = 223289109211
BaseRepresentation
bin1000110010001…
…10011011011100
312010122210000200
410121012123130
5122331020141
611151223500
71553226066
oct431063334
9163583020
1073688796
1138660535
1220817b90
131236084c
149b02736
156708ab6
hex46466dc

73688796 has 72 divisors (see below), whose sum is σ = 190990800. Its totient is φ = 23950080.

The previous prime is 73688777. The next prime is 73688801. The reversal of 73688796 is 69788637.

It is a congruent number.

It is an unprimeable number.

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, 349131 + ... + 349341.

It is an arithmetic number, because the mean of its divisors is an integer number (2652650).

Almost surely, 273688796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73688796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95495400).

73688796 is an abundant number, since it is smaller than the sum of its proper divisors (117302004).

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

73688796 is a wasteful number, since it uses less digits than its factorization.

73688796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 414 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 73688796 is about 8584.2178443933. The cubic root of 73688796 is about 419.2442873082.

The spelling of 73688796 in words is "seventy-three million, six hundred eighty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 109 178 211 218 267 327 356 422 436 534 633 654 801 844 981 1068 1266 1308 1602 1899 1962 2532 3204 3798 3924 7596 9701 18779 19402 22999 29103 37558 38804 45998 56337 58206 68997 75116 87309 91996 112674 116412 137994 169011 174618 206991 225348 275988 338022 349236 413982 676044 827964 2046911 4093822 6140733 8187644 12281466 18422199 24562932 36844398 73688796