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3858497856 = 263101021
BaseRepresentation
bin1110010111111100…
…0000000101000000
3100221220110000000000
43211333000011000
530400233412411
61434513000000
7164421455613
oct34577000500
910856400000
103858497856
111700026604
128b8253000
13496509735
1428863c17a
15178b23956
hexe5fc0140

3858497856 has 154 divisors (see below), whose sum is σ = 11496243962. Its totient is φ = 1284906240.

The previous prime is 3858497833. The next prime is 3858497921. The reversal of 3858497856 is 6587948583.

It can be written as a sum of positive squares in only one way, i.e., 3401222400 + 457275456 = 58320^2 + 21384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3858497793 and 3858497802.

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 21 ways as a sum of consecutive naturals, for example, 3778626 + ... + 3779646.

Almost surely, 23858497856 is an apocalyptic number.

3858497856 is a gapful number since it is divisible by the number (36) 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 3858497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748121981).

3858497856 is an abundant number, since it is smaller than the sum of its proper divisors (7637746106).

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

3858497856 is an frugal number, since it uses more digits than its factorization.

3858497856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1026 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 3858497856 is about 62116.8081601107. The cubic root of 3858497856 is about 1568.4574970038.

The spelling of 3858497856 in words is "three billion, eight hundred fifty-eight million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1021 1296 1458 1728 1944 2042 2187 2592 2916 3063 3888 4084 4374 5184 5832 6126 6561 7776 8168 8748 9189 11664 12252 13122 15552 16336 17496 18378 19683 23328 24504 26244 27567 32672 34992 36756 39366 46656 49008 52488 55134 59049 65344 69984 73512 78732 82701 98016 104976 110268 118098 139968 147024 157464 165402 196032 209952 220536 236196 248103 294048 314928 330804 419904 441072 472392 496206 588096 629856 661608 744309 882144 944784 992412 1259712 1323216 1488618 1764288 1889568 1984824 2232927 2646432 2977236 3779136 3969648 4465854 5292864 5954472 6698781 7939296 8931708 11908944 13397562 15878592 17863416 20096343 23817888 26795124 35726832 40192686 47635776 53590248 60289029 71453664 80385372 107180496 120578058 142907328 160770744 214360992 241156116 321541488 428721984 482312232 643082976 964624464 1286165952 1929248928 3858497856