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48223890 = 233511131249
BaseRepresentation
bin1011011111110…
…1011010010010
310100202000202000
42313331122102
544321131030
64441334430
71123616301
oct267753222
9110660660
1048223890
1125248360
1214197416
139cb5b60
146594438
154378860
hex2dfd692

48223890 has 128 divisors (see below), whose sum is σ = 151200000. Its totient is φ = 10782720.

The previous prime is 48223837. The next prime is 48223907. The reversal of 48223890 is 9832284.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37986 + ... + 39234.

It is an arithmetic number, because the mean of its divisors is an integer number (1181250).

Almost surely, 248223890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48223890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600000).

48223890 is an abundant number, since it is smaller than the sum of its proper divisors (102976110).

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

48223890 is a wasteful number, since it uses less digits than its factorization.

48223890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48223890 is about 6944.3423014710. The cubic root of 48223890 is about 363.9882910938.

The spelling of 48223890 in words is "forty-eight million, two hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1249 1287 1430 1485 1755 2145 2498 2574 2970 3510 3747 3861 4290 6245 6435 7494 7722 11241 12490 12870 13739 16237 18735 19305 22482 27478 32474 33723 37470 38610 41217 48711 56205 67446 68695 81185 82434 97422 112410 123651 137390 146133 162370 168615 178607 206085 243555 247302 292266 337230 357214 370953 412170 438399 487110 535821 618255 730665 741906 876798 893035 1071642 1236510 1461330 1607463 1786070 1854765 2191995 2679105 3214926 3709530 4383990 4822389 5358210 8037315 9644778 16074630 24111945 48223890