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73493472 = 2531358889
BaseRepresentation
bin1000110000101…
…10101111100000
312010021212002110
410120112233200
5122303242342
611143115320
71551453453
oct430265740
9163255073
1073493472
1138537808
1220742b40
13122c2980
149a9149a
1566bac9c
hex4616be0

73493472 has 48 divisors (see below), whose sum is σ = 207763920. Its totient is φ = 22612992.

The previous prime is 73493461. The next prime is 73493473. The reversal of 73493472 is 27439437.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×734934722 = 10802580853229568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 73493472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73493473) 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, 28197 + ... + 30692.

It is an arithmetic number, because the mean of its divisors is an integer number (4328415).

Almost surely, 273493472 is an apocalyptic number.

It is an amenable number.

73493472 is an abundant number, since it is smaller than the sum of its proper divisors (134270448).

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

73493472 is a wasteful number, since it uses less digits than its factorization.

73493472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58915 (or 58907 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 73493472 is about 8572.8333705957. The cubic root of 73493472 is about 418.8735347415.

The spelling of 73493472 in words is "seventy-three million, four hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 58889 117778 176667 235556 353334 471112 706668 765557 942224 1413336 1531114 1884448 2296671 2826672 3062228 4593342 5653344 6124456 9186684 12248912 18373368 24497824 36746736 73493472