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73491444 = 223213373421
BaseRepresentation
bin1000110000101…
…10001111110100
312010021202022100
410120112033310
5122303211234
611143102100
71551444525
oct430261764
9163252270
1073491444
1138536234
1220741930
13122c1a80
149a9084c
1566ba399
hex46163f4

73491444 has 72 divisors (see below), whose sum is σ = 201072872. Its totient is φ = 22498560.

The previous prime is 73491413. The next prime is 73491469. The reversal of 73491444 is 44419437.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 72080100 = 1188^2 + 8490^2 .

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 = 73491399 and 73491408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174354 + ... + 174774.

Almost surely, 273491444 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 73491444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100536436).

73491444 is an abundant number, since it is smaller than the sum of its proper divisors (127581428).

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

73491444 is a wasteful number, since it uses less digits than its factorization.

73491444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 812 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 73491444 is about 8572.7150891652. The cubic root of 73491444 is about 418.8696818671.

The spelling of 73491444 in words is "seventy-three million, four hundred ninety-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 373 421 468 746 842 1119 1263 1492 1684 2238 2526 3357 3789 4476 4849 5052 5473 6714 7578 9698 10946 13428 14547 15156 16419 19396 21892 29094 32838 43641 49257 58188 65676 87282 98514 157033 174564 197028 314066 471099 628132 942198 1413297 1884396 2041429 2826594 4082858 5653188 6124287 8165716 12248574 18372861 24497148 36745722 73491444