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48640860 = 223252331379
BaseRepresentation
bin1011100110001…
…1001101011100
310101112012201100
42321203031130
544423001420
64454313100
71130304042
oct271431534
9111465640
1048640860
1125502664
1214358790
13a100898
146662392
15440c190
hex2e6335c

48640860 has 144 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 11975040.

The previous prime is 48640831. The next prime is 48640877. The reversal of 48640860 is 6804684.

48640860 is a `hidden beast` number, since 4 + 8 + 640 + 8 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128151 + ... + 128529.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560).

Almost surely, 248640860 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 48640860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

48640860 is an abundant number, since it is smaller than the sum of its proper divisors (110703780).

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

48640860 is a wasteful number, since it uses less digits than its factorization.

48640860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48640860 is about 6974.2999648710. The cubic root of 48640860 is about 365.0343621868.

The spelling of 48640860 in words is "forty-eight million, six hundred forty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 379 414 460 465 558 620 690 713 758 828 930 1035 1116 1137 1380 1395 1426 1516 1860 1895 2070 2139 2274 2790 2852 3411 3565 3790 4140 4278 4548 5580 5685 6417 6822 7130 7580 8556 8717 10695 11370 11749 12834 13644 14260 17055 17434 21390 22740 23498 25668 26151 32085 34110 34868 35247 42780 43585 46996 52302 58745 64170 68220 70494 78453 87170 104604 105741 117490 128340 130755 140988 156906 174340 176235 211482 234980 261510 270227 313812 352470 392265 422964 523020 528705 540454 704940 784530 810681 1057410 1080908 1351135 1569060 1621362 2114820 2432043 2702270 3242724 4053405 4864086 5404540 8106810 9728172 12160215 16213620 24320430 48640860