Search a number
-
+
73891216 = 24723072
BaseRepresentation
bin1000110011101…
…11110110010000
312011001001200201
410121313312100
5122404004331
611155424544
71555031200
oct431676620
9164031621
1073891216
1138789623
12208b5154
1312401a19
149b56400
156748a61
hex4677d90

73891216 has 45 divisors (see below), whose sum is σ = 167082219. Its totient is φ = 31564512.

The previous prime is 73891199. The next prime is 73891229. The reversal of 73891216 is 61219837.

The square root of 73891216 is 8596.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240535 + ... + 240841.

Almost surely, 273891216 is an apocalyptic number.

73891216 is the 8596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73891216

73891216 is an abundant number, since it is smaller than the sum of its proper divisors (93191003).

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

73891216 is an equidigital number, since it uses as much as digits as its factorization.

73891216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 316 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The cubic root of 73891216 is about 419.6278184382.

The spelling of 73891216 in words is "seventy-three million, eight hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 307 392 614 784 1228 2149 2456 4298 4912 8596 15043 17192 30086 34384 60172 94249 120344 188498 240688 376996 659743 753992 1319486 1507984 2638972 4618201 5277944 9236402 10555888 18472804 36945608 73891216