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5024821248 = 21232314397
BaseRepresentation
bin1001010111000000…
…01011000000000000
3110222012002100220200
410223200023000000
540242323234443
62150335205200
7235343163426
oct45340130000
913865070820
105024821248
112149420637
12b82976800
1362103c615
143594c3116
151e620add3
hex12b80b000

5024821248 has 156 divisors (see below), whose sum is σ = 14985991488. Its totient is φ = 1620541440.

The previous prime is 5024821231. The next prime is 5024821253. The reversal of 5024821248 is 8421284205.

5024821248 is a `hidden beast` number, since 50 + 2 + 482 + 124 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140586 + ... + 1144982.

It is an arithmetic number, because the mean of its divisors is an integer number (96064048).

Almost surely, 25024821248 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 5024821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492995744).

5024821248 is an abundant number, since it is smaller than the sum of its proper divisors (9961170240).

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

5024821248 is a wasteful number, since it uses less digits than its factorization.

5024821248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 5024821248 is about 70885.9735631810. The cubic root of 5024821248 is about 1712.8008597659.

The spelling of 5024821248 in words is "five billion, twenty-four million, eight hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4096 4397 4464 4608 5952 6144 7936 8794 8928 9216 11904 12288 13191 15872 17588 17856 18432 23808 26382 31744 35176 35712 36864 39573 47616 52764 63488 70352 71424 79146 95232 105528 126976 136307 140704 142848 158292 190464 211056 272614 281408 285696 316584 380928 408921 422112 545228 562816 571392 633168 817842 844224 1090456 1125632 1142784 1226763 1266336 1635684 1688448 2180912 2251264 2453526 2532672 3271368 3376896 4361824 4502528 4907052 5065344 6542736 6753792 8723648 9005056 9814104 10130688 13085472 13507584 17447296 18010112 19628208 20261376 26170944 27015168 34894592 39256416 40522752 52341888 54030336 69789184 78512832 81045504 104683776 139578368 157025664 162091008 209367552 279156736 314051328 418735104 558313472 628102656 837470208 1256205312 1674940416 2512410624 5024821248