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385069872 = 243114759263
BaseRepresentation
bin10110111100111…
…011001100110000
3222211120120120010
4112330323030300
51242034213442
6102113214520
712354016455
oct2674731460
9884516503
10385069872
111883a8770
12a8b61440
1361a149c5
14391d982c
1523c14b9c
hex16f3b330

385069872 has 160 divisors (see below), whose sum is σ = 1131356160. Its totient is φ = 111842560.

The previous prime is 385069871. The next prime is 385069891. The reversal of 385069872 is 278960583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (385069871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464013 + ... + 1464275.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2385069872 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 385069872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

385069872 is an abundant number, since it is smaller than the sum of its proper divisors (746286288).

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

385069872 is a wasteful number, since it uses less digits than its factorization.

385069872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 385069872 is about 19623.1972929999. The cubic root of 385069872 is about 727.5226412103.

The spelling of 385069872 in words is "three hundred eighty-five million, sixty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 59 66 88 94 118 132 141 176 177 188 236 263 264 282 354 376 472 517 526 528 564 649 708 752 789 944 1034 1052 1128 1298 1416 1551 1578 1947 2068 2104 2256 2596 2773 2832 2893 3102 3156 3894 4136 4208 5192 5546 5786 6204 6312 7788 8272 8319 8679 10384 11092 11572 12361 12408 12624 15517 15576 16638 17358 22184 23144 24722 24816 30503 31034 31152 33276 34716 37083 44368 46288 46551 49444 61006 62068 66552 69432 74166 91509 93102 98888 122012 124136 133104 135971 138864 148332 170687 183018 186204 197776 244024 248272 271942 296664 341374 366036 372408 407913 488048 512061 543884 593328 682748 729299 732072 744816 815826 1024122 1087768 1365496 1458598 1464144 1631652 2048244 2175536 2187897 2730992 2917196 3263304 4096488 4375794 5834392 6526608 8022289 8192976 8751588 11668784 16044578 17503176 24066867 32089156 35006352 48133734 64178312 96267468 128356624 192534936 385069872