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73893972 = 22329415179
BaseRepresentation
bin1000110011110…
…00100001010100
312011001012110210
410121320201110
5122404101342
611155445420
71555042215
oct431704124
9164035423
1073893972
11387906a9
12208b6870
1312403059
149b5740c
15674979c
hex4678854

73893972 has 48 divisors (see below), whose sum is σ = 182750400. Its totient is φ = 23197440.

The previous prime is 73893961. The next prime is 73893991. The reversal of 73893972 is 27939837.

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 15 ways as a sum of consecutive naturals, for example, 11679 + ... + 16857.

It is an arithmetic number, because the mean of its divisors is an integer number (3807300).

Almost surely, 273893972 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 73893972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91375200).

73893972 is an abundant number, since it is smaller than the sum of its proper divisors (108856428).

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

73893972 is a wasteful number, since it uses less digits than its factorization.

73893972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5254 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 73893972 is about 8596.1603056248. The cubic root of 73893972 is about 419.6330354764.

The spelling of 73893972 in words is "seventy-three million, eight hundred ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 3567 4756 5179 7134 10358 14268 15537 20716 31074 62148 150191 212339 300382 424678 450573 600764 637017 849356 901146 1274034 1802292 2548068 6157831 12315662 18473493 24631324 36946986 73893972