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2984982 = 2372111371
BaseRepresentation
bin1011011000110000010110
312121122121220
423120300112
51231004412
6143551210
734241400
oct13306026
95548556
102984982
111759730
12bbb506
13806880
14579b70
153de68c
hex2d8c16

2984982 has 96 divisors (see below), whose sum is σ = 8273664. Its totient is φ = 705600.

The previous prime is 2984977. The next prime is 2985001. The reversal of 2984982 is 2894892.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 42007 + ... + 42077.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

22984982 is an apocalyptic number.

2984982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136832).

2984982 is an abundant number, since it is smaller than the sum of its proper divisors (5288682).

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

2984982 is a wasteful number, since it uses less digits than its factorization.

2984982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 2984982 is about 1727.7100451175. The cubic root of 2984982 is about 143.9838909449.

The spelling of 2984982 in words is "two million, nine hundred eighty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 71 77 78 91 98 142 143 147 154 182 213 231 273 286 294 426 429 462 497 539 546 637 781 858 923 994 1001 1078 1274 1491 1562 1617 1846 1911 2002 2343 2769 2982 3003 3234 3479 3822 4686 5467 5538 6006 6461 6958 7007 10153 10437 10934 12922 14014 16401 19383 20306 20874 21021 30459 32802 38269 38766 42042 45227 60918 71071 76538 90454 114807 135681 142142 213213 229614 271362 426426 497497 994994 1492491 2984982