Search a number
-
+
73749216 = 253768221
BaseRepresentation
bin1000110010101…
…01001011100000
312010202211220110
410121111023200
5122334433331
611152411320
71553600202
oct431251340
9163684813
1073749216
11386a1972
1220846b40
13123821b8
149b1a772
15671b946
hex46552e0

73749216 has 24 divisors (see below), whose sum is σ = 193591944. Its totient is φ = 24583040.

The previous prime is 73749209. The next prime is 73749239. The reversal of 73749216 is 61294737.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×737492162 = 10877893721229312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 384015 + ... + 384206.

It is an arithmetic number, because the mean of its divisors is an integer number (8066331).

Almost surely, 273749216 is an apocalyptic number.

It is an amenable number.

73749216 is an abundant number, since it is smaller than the sum of its proper divisors (119842728).

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

73749216 is a wasteful number, since it uses less digits than its factorization.

73749216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768234 (or 768226 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 73749216 is about 8587.7363722928. The cubic root of 73749216 is about 419.3588403166.

The spelling of 73749216 in words is "seventy-three million, seven hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 768221 1536442 2304663 3072884 4609326 6145768 9218652 12291536 18437304 24583072 36874608 73749216