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7628985 = 36571323
BaseRepresentation
bin11101000110100010111001
3112100121000000
4131012202321
53423111420
6431303213
7121562640
oct35064271
915317000
107628985
114340851
12267ab09
1317715c0
141028357
15a0a690
hex7468b9

7628985 has 112 divisors (see below), whose sum is σ = 17627904. Its totient is φ = 3079296.

The previous prime is 7628981. The next prime is 7628987. The reversal of 7628985 is 5898267.

7628985 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7628985 - 22 = 7628981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

7628985 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 7628985.

It is not an unprimeable number, because it can be changed into a prime (7628981) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 331684 + ... + 331706.

It is an arithmetic number, because the mean of its divisors is an integer number (157392).

Almost surely, 27628985 is an apocalyptic number.

It is an amenable number.

7628985 is an abundant number, since it is smaller than the sum of its proper divisors (9998919).

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

7628985 is a wasteful number, since it uses less digits than its factorization.

7628985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7628985 is about 2762.0617299402. The cubic root of 7628985 is about 196.8591415798.

The spelling of 7628985 in words is "seven million, six hundred twenty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 23 27 35 39 45 63 65 69 81 91 105 115 117 135 161 189 195 207 243 273 299 315 345 351 405 455 483 567 585 621 729 805 819 897 945 1035 1053 1215 1365 1449 1495 1701 1755 1863 2093 2415 2457 2691 2835 3105 3159 3645 4095 4347 4485 5103 5265 5589 6279 7245 7371 8073 8505 9315 9477 10465 12285 13041 13455 15795 16767 18837 21735 22113 24219 25515 27945 31395 36855 39123 40365 47385 56511 65205 66339 72657 83835 94185 110565 117369 121095 169533 195615 217971 282555 331695 363285 508599 586845 847665 1089855 1525797 2542995 7628985