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73719396 = 2238532
BaseRepresentation
bin1000110010011…
…01111001100100
312010201100000000
410121031321210
5122333010041
611152021300
71553414232
oct431157144
9163640000
1073719396
1138681523
1220831830
131237175a
149b0d952
156712bb6
hex464de64

73719396 has 81 divisors (see below), whose sum is σ = 197223481. Its totient is φ = 24109488.

The previous prime is 73719383. The next prime is 73719409. The reversal of 73719396 is 69391737.

The square root of 73719396 is 8586.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (73719383) and next prime (73719409).

It can be written as a sum of positive squares in only one way, i.e., 53144100 + 20575296 = 7290^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 1390906 + ... + 1390958.

Almost surely, 273719396 is an apocalyptic number.

73719396 is the 8586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73719396

73719396 is an abundant number, since it is smaller than the sum of its proper divisors (123504085).

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

73719396 is an frugal number, since it uses more digits than its factorization.

73719396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 58 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The cubic root of 73719396 is about 419.3023110536.

The spelling of 73719396 in words is "seventy-three million, seven hundred nineteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 729 954 972 1431 1458 1908 2187 2809 2862 2916 4293 4374 5618 5724 6561 8427 8586 8748 11236 12879 13122 16854 17172 25281 25758 26244 33708 38637 50562 51516 75843 77274 101124 115911 151686 154548 227529 231822 303372 347733 455058 463644 682587 695466 910116 1365174 1390932 2047761 2730348 4095522 6143283 8191044 12286566 18429849 24573132 36859698 73719396