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73864896 = 263754959
BaseRepresentation
bin1000110011100…
…01011011000000
312010222201120220
410121301123000
5122402134041
611155103040
71554561360
oct431613300
9163881526
1073864896
1138770876
12208a1a80
13123c2a51
149b4a9a0
156740d66
hex46716c0

73864896 has 56 divisors (see below), whose sum is σ = 223357440. Its totient is φ = 21103872.

The previous prime is 73864883. The next prime is 73864919. The reversal of 73864896 is 69846837.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×738648962 = 10912045722181632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 26136 + ... + 28823.

Almost surely, 273864896 is an apocalyptic number.

It is an amenable number.

73864896 is an abundant number, since it is smaller than the sum of its proper divisors (149492544).

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

73864896 is a wasteful number, since it uses less digits than its factorization.

73864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54981 (or 54971 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 73864896 is about 8594.4689190200. The cubic root of 73864896 is about 419.5779888084.

The spelling of 73864896 in words is "seventy-three million, eight hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 54959 109918 164877 219836 329754 384713 439672 659508 769426 879344 1154139 1319016 1538852 1758688 2308278 2638032 3077704 3517376 4616556 5276064 6155408 9233112 10552128 12310816 18466224 24621632 36932448 73864896