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73880028 = 223217611979
BaseRepresentation
bin1000110011101…
…01000111011100
312011000111100100
410121311013130
5122403130103
611155301100
71554653445
oct431650734
9164014310
1073880028
1138781182
12208aa790
13123c98c1
149b522cc
1567455a3
hex46751dc

73880028 has 72 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 22786560.

The previous prime is 73880017. The next prime is 73880087. The reversal of 73880028 is 82008837.

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

It is a junction number, because it is equal to n+sod(n) for n = 73879974 and 73880001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36343 + ... + 38321.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 273880028 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 73880028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

73880028 is an abundant number, since it is smaller than the sum of its proper divisors (127200852).

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

73880028 is a wasteful number, since it uses less digits than its factorization.

73880028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 73880028 is about 8595.3492075657. The cubic root of 73880028 is about 419.6066385052.

The spelling of 73880028 in words is "seventy-three million, eight hundred eighty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 1979 2074 2196 3111 3958 4148 5937 6222 7916 9333 11874 12444 17811 18666 23748 33643 35622 37332 67286 71244 100929 120719 134572 201858 241438 302787 362157 403716 482876 605574 724314 1086471 1211148 1448628 2052223 2172942 4104446 4345884 6156669 8208892 12313338 18470007 24626676 36940014 73880028