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73906812 = 22327313937
BaseRepresentation
bin1000110011110…
…11101001111100
312011001212002100
410121323221330
5122410004222
611200025100
71555124520
oct431735174
9164055070
1073906812
113879a311
1220902190
1312408b55
149b5bd80
15674d4ac
hex467ba7c

73906812 has 72 divisors (see below), whose sum is σ = 214419296. Its totient is φ = 21026304.

The previous prime is 73906801. The next prime is 73906813. The reversal of 73906812 is 21860937.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73906813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78408 + ... + 79344.

Almost surely, 273906812 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 73906812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107209648).

73906812 is an abundant number, since it is smaller than the sum of its proper divisors (140512484).

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

73906812 is a wasteful number, since it uses less digits than its factorization.

73906812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 73906812 is about 8596.9071182606. The cubic root of 73906812 is about 419.6573395613.

The spelling of 73906812 in words is "seventy-three million, nine hundred six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 313 626 937 939 1252 1874 1878 2191 2811 2817 3748 3756 4382 5622 5634 6559 6573 8433 8764 11244 11268 13118 13146 16866 19677 19719 26236 26292 33732 39354 39438 59031 78708 78876 118062 236124 293281 586562 879843 1173124 1759686 2052967 2639529 3519372 4105934 5279058 6158901 8211868 10558116 12317802 18476703 24635604 36953406 73906812