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2883972 = 22371319139
BaseRepresentation
bin1011000000000110000100
312102112001210
423000012010
51214241342
6141451420
733341040
oct13000604
95375053
102883972
11169a853
12b70b70
1379c8c0
14551020
153be79c
hex2c0184

2883972 has 96 divisors (see below), whose sum is σ = 8780800. Its totient is φ = 715392.

The previous prime is 2883929. The next prime is 2883973. The reversal of 2883972 is 2793882.

It is a super-3 number, since 3×28839723 = 71960533333437438144, which contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2883972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2883973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20679 + ... + 20817.

22883972 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 2883972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390400).

2883972 is an abundant number, since it is smaller than the sum of its proper divisors (5896828).

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

2883972 is a wasteful number, since it uses less digits than its factorization.

2883972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 2883972 is about 1698.2261333521. The cubic root of 2883972 is about 142.3411094492.

It can be divided in two parts, 2883 and 972, that multiplied together give a square (2802276 = 16742).

The spelling of 2883972 in words is "two million, eight hundred eighty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 139 156 182 228 247 266 273 278 364 399 417 494 532 546 556 741 798 834 973 988 1092 1482 1596 1668 1729 1807 1946 2641 2919 2964 3458 3614 3892 5187 5282 5421 5838 6916 7228 7923 10374 10564 10842 11676 12649 15846 18487 20748 21684 25298 31692 34333 36974 37947 50596 55461 68666 73948 75894 102999 110922 137332 151788 205998 221844 240331 411996 480662 720993 961324 1441986 2883972