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4286989152 = 25341987049
BaseRepresentation
bin1111111110000110…
…0100001101100000
3102001202201121120000
43333201210031200
532234432123102
61545221020000
7211143543435
oct37741441540
912052647500
104286989152
1118aa991446
129b7854600
13534215394
142c94dbb8c
151a156401c
hexff864360

4286989152 has 120 divisors (see below), whose sum is σ = 13271643000. Its totient is φ = 1353770496.

The previous prime is 4286989139. The next prime is 4286989153. The reversal of 4286989152 is 2519896824.

It is a happy number.

4286989152 is a `hidden beast` number, since 428 + 69 + 8 + 9 + 152 = 666.

4286989152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4286989153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5724 + ... + 92772.

It is an arithmetic number, because the mean of its divisors is an integer number (110597025).

Almost surely, 24286989152 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 4286989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635821500).

4286989152 is an abundant number, since it is smaller than the sum of its proper divisors (8984653848).

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

4286989152 is a wasteful number, since it uses less digits than its factorization.

4286989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87090 (or 87073 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 4286989152 is about 65475.1032988876. The cubic root of 4286989152 is about 1624.4915682121.

The spelling of 4286989152 in words is "four billion, two hundred eighty-six million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 49248 87049 174098 261147 348196 522294 696392 783441 1044588 1392784 1566882 1653931 2089176 2350323 2785568 3133764 3307862 4178352 4700646 4961793 6267528 6615724 7050969 8356704 9401292 9923586 12535056 13231448 14101938 14885379 18802584 19847172 25070112 26462896 28203876 29770758 37605168 39694344 44656137 52925792 56407752 59541516 75210336 79388688 89312274 112815504 119083032 133968411 158777376 178624548 225631008 238166064 267936822 357249096 476332128 535873644 714498192 1071747288 1428996384 2143494576 4286989152