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73748016 = 2433533221
BaseRepresentation
bin1000110010101…
…00111000110000
312010202210021000
410121110320300
5122334414031
611152402000
71553563536
oct431247060
9163683230
1073748016
11386a0a81
1220846300
13123817a4
149b1a156
15671b3e6
hex4654e30

73748016 has 80 divisors (see below), whose sum is σ = 215745120. Its totient is φ = 24111360.

The previous prime is 73748009. The next prime is 73748047. The reversal of 73748016 is 61084737.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 21286 + ... + 24506.

It is an arithmetic number, because the mean of its divisors is an integer number (2696814).

Almost surely, 273748016 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 73748016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107872560).

73748016 is an abundant number, since it is smaller than the sum of its proper divisors (141997104).

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

73748016 is a wasteful number, since it uses less digits than its factorization.

73748016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 73748016 is about 8587.6665049360. Note that the first 3 decimals coincide. The cubic root of 73748016 is about 419.3565657914.

The spelling of 73748016 in words is "seventy-three million, seven hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3221 3816 5724 6442 7632 9663 11448 12884 19326 22896 25768 28989 38652 51536 57978 77304 86967 115956 154608 170713 173934 231912 341426 347868 463824 512139 682852 695736 1024278 1365704 1391472 1536417 2048556 2731408 3072834 4097112 4609251 6145668 8194224 9218502 12291336 18437004 24582672 36874008 73748016