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887142984 = 2337131921379
BaseRepresentation
bin110100111000001…
…011101001001000
32021211022112101120
4310320023221020
53304102033414
6224010315240
730661406460
oct6470135110
92254275346
10887142984
11415850722
12209128b20
13111a445a0
1485b70ba0
1552d3c2a9
hex34e0ba48

887142984 has 128 divisors (see below), whose sum is σ = 2873472000. Its totient is φ = 221647104.

The previous prime is 887142983. The next prime is 887142989. The reversal of 887142984 is 489241788.

It is not an unprimeable number, because it can be changed into a prime (887142983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30807 + ... + 52185.

It is an arithmetic number, because the mean of its divisors is an integer number (22449000).

Almost surely, 2887142984 is an apocalyptic number.

887142984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 887142984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436736000).

887142984 is an abundant number, since it is smaller than the sum of its proper divisors (1986329016).

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

887142984 is a wasteful number, since it uses less digits than its factorization.

887142984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21427 (or 21423 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 887142984 is about 29784.9455933698. The cubic root of 887142984 is about 960.8697932963.

The spelling of 887142984 in words is "eight hundred eighty-seven million, one hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1976 2184 2964 3192 3458 5187 5928 6916 10374 13832 20748 21379 41496 42758 64137 85516 128274 149653 171032 256548 277927 299306 406201 448959 513096 555854 598612 812402 833781 897918 1111708 1197224 1218603 1624804 1667562 1795836 1945489 2223416 2437206 2843407 3249608 3335124 3591672 3890978 4874412 5280613 5686814 5836467 6670248 7781956 8530221 9748824 10561226 11373628 11672934 15563912 15841839 17060442 21122452 22747256 23345868 31683678 34120884 36964291 42244904 46691736 63367356 68241768 73928582 110892873 126734712 147857164 221785746 295714328 443571492 887142984