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73049886 = 232721323277
BaseRepresentation
bin1000101101010…
…10011100011110
312002110022121100
410112222130132
5122200044021
611125413530
71544625300
oct426523436
9162408540
1073049886
1138264508
122056a2a6
1312198ab0
1499b7970
15662e626
hex45aa71e

73049886 has 144 divisors (see below), whose sum is σ = 207645984. Its totient is φ = 18361728.

The previous prime is 73049861. The next prime is 73049887. The reversal of 73049886 is 68894037.

It is a happy number.

It is a super-2 number, since 2×730498862 = 10672571689225992, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73049887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263580 + ... + 263856.

It is an arithmetic number, because the mean of its divisors is an integer number (1441986).

Almost surely, 273049886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73049886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103822992).

73049886 is an abundant number, since it is smaller than the sum of its proper divisors (134596098).

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

73049886 is a wasteful number, since it uses less digits than its factorization.

73049886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 73049886 is about 8546.9226040722. The cubic root of 73049886 is about 418.0290991090.

The spelling of 73049886 in words is "seventy-three million, forty-nine thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 49 63 69 78 91 98 117 126 138 147 161 182 207 234 273 277 294 299 322 414 441 483 546 554 598 637 819 831 882 897 966 1127 1274 1449 1638 1662 1794 1911 1939 2093 2254 2493 2691 2898 3381 3601 3822 3878 4186 4986 5382 5733 5817 6279 6371 6762 7202 10143 10803 11466 11634 12558 12742 13573 14651 17451 18837 19113 20286 21606 25207 27146 29302 32409 34902 37674 38226 40719 43953 44597 50414 57339 64818 75621 81438 82823 87906 89194 114678 122157 131859 133791 151242 165646 176449 226863 244314 248469 263718 267582 312179 352898 401373 453726 496938 529347 579761 624358 745407 802746 936537 1058694 1159522 1490814 1588041 1739283 1873074 2809611 3176082 3478566 4058327 5217849 5619222 8116654 10435698 12174981 24349962 36524943 73049886