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4927450968 = 23371125603
BaseRepresentation
bin1001001011011001…
…01110111101011000
3110201101212110000000
410211230232331120
540042411412333
62132540213000
7233051433156
oct44554567530
913641773000
104927450968
1120a9465930
12b5623a160
13606b09a7b
1434a5b83d6
151dc8c5713
hex125b2ef58

4927450968 has 128 divisors (see below), whose sum is σ = 15116601600. Its totient is φ = 1493108640.

The previous prime is 4927450967. The next prime is 4927451033. The reversal of 4927450968 is 8690547294.

4927450968 is a `hidden beast` number, since 4 + 9 + 2 + 74 + 509 + 68 = 666.

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 (4927450967) 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, 179655 + ... + 205257.

It is an arithmetic number, because the mean of its divisors is an integer number (118098450).

Almost surely, 24927450968 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 4927450968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558300800).

4927450968 is an abundant number, since it is smaller than the sum of its proper divisors (10189150632).

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

4927450968 is a wasteful number, since it uses less digits than its factorization.

4927450968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25641 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4927450968 is about 70195.8044900121. The cubic root of 4927450968 is about 1701.6651467754.

The spelling of 4927450968 in words is "four billion, nine hundred twenty-seven million, four hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2187 2376 2673 2916 3564 4374 5346 5832 7128 8019 8748 10692 16038 17496 21384 24057 25603 32076 48114 51206 64152 76809 96228 102412 153618 192456 204824 230427 281633 307236 460854 563266 614472 691281 844899 921708 1126532 1382562 1689798 1843416 2073843 2253064 2534697 2765124 3379596 4147686 5069394 5530248 6221529 6759192 7604091 8295372 10138788 12443058 15208182 16590744 18664587 20277576 22812273 24886116 30416364 37329174 45624546 49772232 55993761 60832728 68436819 74658348 91249092 111987522 136873638 149316696 182498184 205310457 223975044 273747276 410620914 447950088 547494552 615931371 821241828 1231862742 1642483656 2463725484 4927450968