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538001244 = 2233111721567
BaseRepresentation
bin100000000100010…
…011111101011100
31101111100021222000
4200010103331130
52100212014434
6125215122300
716221635514
oct4004237534
91344307860
10538001244
11256762330
12130213390
13875cbc41
1451648844
1532372b99
hex20113f5c

538001244 has 144 divisors (see below), whose sum is σ = 1617423360. Its totient is φ = 153342720.

The previous prime is 538001231. The next prime is 538001263. The reversal of 538001244 is 442100835.

538001244 is a `hidden beast` number, since 538 + 0 + 0 + 124 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342549 + ... + 344115.

Almost surely, 2538001244 is an apocalyptic number.

538001244 is a gapful number since it is divisible by the number (54) 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 538001244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808711680).

538001244 is an abundant number, since it is smaller than the sum of its proper divisors (1079422116).

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

538001244 is a wasteful number, since it uses less digits than its factorization.

538001244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 538001244 is about 23194.8538257951. The cubic root of 538001244 is about 813.3193282697.

The spelling of 538001244 in words is "five hundred thirty-eight million, one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 289 297 306 374 396 459 561 578 594 612 748 867 918 1122 1156 1188 1567 1683 1734 1836 2244 2601 3134 3179 3366 3468 4701 5049 5202 6268 6358 6732 7803 9402 9537 10098 10404 12716 14103 15606 17237 18804 19074 20196 26639 28206 28611 31212 34474 38148 42309 51711 53278 56412 57222 68948 79917 84618 85833 103422 106556 114444 155133 159834 169236 171666 206844 239751 293029 310266 319668 343332 452863 465399 479502 586058 620532 719253 879087 905726 930798 959004 1172116 1358589 1438506 1758174 1811452 1861596 2637261 2717178 2877012 3516348 4075767 4981493 5274522 5434356 7911783 8151534 9962986 10549044 12227301 14944479 15823566 16303068 19925972 24454602 29888958 31647132 44833437 48909204 59777916 89666874 134500311 179333748 269000622 538001244