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73349056 = 2611432423
BaseRepresentation
bin1000101111100…
…11011111000000
312010000111222201
410113303133000
5122234132211
611140042544
71550312434
oct427633700
9163014881
1073349056
1138449260
1220693454
1312272011
149a549c4
15668d0c1
hex45f37c0

73349056 has 56 divisors (see below), whose sum is σ = 162543744. Its totient is φ = 32551680.

The previous prime is 73349027. The next prime is 73349057. The reversal of 73349056 is 65094337.

It is a super-2 number, since 2×733490562 = 10760168032182272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73349057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29061 + ... + 31483.

Almost surely, 273349056 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 73349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81271872).

73349056 is an abundant number, since it is smaller than the sum of its proper divisors (89194688).

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

73349056 is a wasteful number, since it uses less digits than its factorization.

73349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 73349056 is about 8564.4063425319. The cubic root of 73349056 is about 418.5989901472.

The spelling of 73349056 in words is "seventy-three million, three hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2423 2752 3784 4846 7568 9692 15136 19384 26653 30272 38768 53306 77536 104189 106612 155072 208378 213224 416756 426448 833512 852896 1146079 1667024 1705792 2292158 3334048 4584316 6668096 9168632 18337264 36674528 73349056