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73268748 = 223273183113
BaseRepresentation
bin1000101110111…
…11111000001100
312002212102211100
410113133320030
5122224044443
611134223100
71546526340
oct427377014
9162772740
1073268748
11383a3993
1220654a90
13122445b7
149a33620
1566743d3
hex45dfe0c

73268748 has 144 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 19837440.

The previous prime is 73268719. The next prime is 73268771. The reversal of 73268748 is 84786237.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648340 + ... + 648452.

It is an arithmetic number, because the mean of its divisors is an integer number (1549184).

Almost surely, 273268748 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 73268748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

73268748 is an abundant number, since it is smaller than the sum of its proper divisors (149813748).

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

73268748 is a wasteful number, since it uses less digits than its factorization.

73268748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 73268748 is about 8559.7165840932. The cubic root of 73268748 is about 418.4461632591.

The spelling of 73268748 in words is "seventy-three million, two hundred sixty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 83 84 93 113 124 126 166 186 217 226 249 252 279 332 339 372 434 452 498 558 581 651 678 747 791 868 996 1017 1116 1162 1302 1356 1494 1582 1743 1953 2034 2324 2373 2573 2604 2988 3164 3486 3503 3906 4068 4746 5146 5229 6972 7006 7119 7719 7812 9379 9492 10292 10458 10509 14012 14238 15438 18011 18758 20916 21018 23157 24521 28137 28476 30876 31527 36022 37516 42036 46314 49042 54033 56274 63054 65653 72044 73563 84411 92628 98084 108066 112548 126108 131306 147126 162099 168822 196959 216132 220689 262612 290749 294252 324198 337644 393918 441378 581498 590877 648396 787836 872247 882756 1162996 1181754 1744494 2035243 2363508 2616741 3488988 4070486 5233482 6105729 8140972 10466964 12211458 18317187 24422916 36634374 73268748