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73491768 = 23327237563
BaseRepresentation
bin1000110000101…
…10010100111000
312010021202202100
410120112110320
5122303214033
611143103400
71551445500
oct430262470
9163252670
1073491768
11385364a9
1220741b60
13122c1c6c
149a90a00
1566ba513
hex4616538

73491768 has 144 divisors (see below), whose sum is σ = 238216680. Its totient is φ = 20393856.

The previous prime is 73491767. The next prime is 73491779. The reversal of 73491768 is 86719437.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73491767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130255 + ... + 130817.

Almost surely, 273491768 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 73491768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119108340).

73491768 is an abundant number, since it is smaller than the sum of its proper divisors (164724912).

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

73491768 is a wasteful number, since it uses less digits than its factorization.

73491768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 73491768 is about 8572.7339863080. The cubic root of 73491768 is about 418.8702974198.

The spelling of 73491768 in words is "seventy-three million, four hundred ninety-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 563 588 666 777 882 888 1036 1126 1176 1332 1554 1689 1764 1813 2072 2252 2331 2664 3108 3378 3528 3626 3941 4504 4662 5067 5439 6216 6756 7252 7882 9324 10134 10878 11823 13512 14504 15764 16317 18648 20268 20831 21756 23646 27587 31528 32634 35469 40536 41662 43512 47292 55174 62493 65268 70938 82761 83324 94584 110348 124986 130536 141876 145817 165522 166648 187479 220696 248283 249972 283752 291634 331044 374958 437451 496566 499944 583268 662088 749916 874902 993132 1020719 1166536 1312353 1499832 1749804 1986264 2041438 2624706 3062157 3499608 4082876 5249412 6124314 8165752 9186471 10498824 12248628 18372942 24497256 36745884 73491768