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4881385728 = 28333719087
BaseRepresentation
bin1001000101111010…
…00000100100000000
3110121012012002101000
410202331000210000
534444113320403
62124213012000
7231652044162
oct44275004400
913535162330
104881385728
11208546238a
12b42924000
135ca3cb62b
14344426932
151d88267a3
hex122f40900

4881385728 has 144 divisors (see below), whose sum is σ = 14826031360. Its totient is φ = 1583069184.

The previous prime is 4881385727. The next prime is 4881385739. The reversal of 4881385728 is 8275831884.

4881385728 is a `hidden beast` number, since 488 + 13 + 85 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4881385723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246201 + ... + 265287.

Almost surely, 24881385728 is an apocalyptic number.

4881385728 is a gapful number since it is divisible by the number (48) 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 4881385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413015680).

4881385728 is an abundant number, since it is smaller than the sum of its proper divisors (9944645632).

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

4881385728 is a wasteful number, since it uses less digits than its factorization.

4881385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19149 (or 19129 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 4881385728 is about 69866.9144015964. The cubic root of 4881385728 is about 1696.3457524590.

The spelling of 4881385728 in words is "four billion, eight hundred eighty-one million, three hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1728 1776 1998 2304 2368 2664 3456 3552 3996 4736 5328 6912 7104 7992 9472 10656 14208 15984 19087 21312 28416 31968 38174 42624 57261 63936 76348 85248 114522 127872 152696 171783 229044 255744 305392 343566 458088 515349 610784 687132 706219 916176 1030698 1221568 1374264 1412438 1832352 2061396 2118657 2443136 2748528 2824876 3664704 4122792 4237314 4886272 5497056 5649752 6355971 7329408 8245584 8474628 10994112 11299504 12711942 14658816 16491168 16949256 19067913 21988224 22599008 25423884 32982336 33898512 38135826 43976448 45198016 50847768 65964672 67797024 76271652 90396032 101695536 131929344 135594048 152543304 180792064 203391072 271188096 305086608 406782144 542376192 610173216 813564288 1220346432 1627128576 2440692864 4881385728