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48266064 = 24337111451
BaseRepresentation
bin1011100000011…
…1101101010000
310100211011121000
42320013231100
544324003224
64442302000
71124153250
oct270075520
9110734530
1048266064
1125277010
12141b7900
139ccc102
1465a5960
1543860c9
hex2e07b50

48266064 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 12528000.

The previous prime is 48266051. The next prime is 48266087. The reversal of 48266064 is 46066284.

It is a happy number.

48266064 is a `hidden beast` number, since 48 + 2 + 6 + 606 + 4 = 666.

It is a super-2 number, since 2×482660642 = 4659225868104192, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 32539 + ... + 33989.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 248266064 is an apocalyptic number.

48266064 is a gapful number since it is divisible by the number (44) 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 48266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

48266064 is an abundant number, since it is smaller than the sum of its proper divisors (124580016).

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

48266064 is a wasteful number, since it uses less digits than its factorization.

48266064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48266064 is about 6947.3782105194. The cubic root of 48266064 is about 364.0943683193.

The spelling of 48266064 in words is "forty-eight million, two hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1451 1512 1584 1848 2079 2376 2772 2902 3024 3696 4158 4353 4752 5544 5804 8316 8706 10157 11088 11608 13059 15961 16632 17412 20314 23216 26118 30471 31922 33264 34824 39177 40628 47883 52236 60942 63844 69648 78354 81256 91413 95766 104472 111727 121884 127688 143649 156708 162512 182826 191532 208944 223454 243768 255376 274239 287298 313416 335181 365652 383064 430947 446908 487536 548478 574596 626832 670362 731304 766128 861894 893816 1005543 1096956 1149192 1340724 1462608 1723788 1787632 2011086 2193912 2298384 2681448 3016629 3447576 4022172 4387824 5362896 6033258 6895152 8044344 12066516 16088688 24133032 48266064