Search a number
-
+
2864255904 = 25343673011
BaseRepresentation
bin1010101010111001…
…0001001110100000
321101121121021110000
42222232101032200
521331222142104
61152114540000
7130656526206
oct25256211640
97347537400
102864255904
11123a885944
1267b297600
133685373a3
141d258d076
1511b6cd639
hexaab913a0

2864255904 has 120 divisors (see below), whose sum is σ = 8449455168. Its totient is φ = 951834240.

The previous prime is 2864255887. The next prime is 2864255917. The reversal of 2864255904 is 4095524682.

It is a self number, because there is not a number n which added to its sum of digits gives 2864255904.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949759 + ... + 952769.

Almost surely, 22864255904 is an apocalyptic number.

2864255904 is a gapful number since it is divisible by the number (24) 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 2864255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224727584).

2864255904 is an abundant number, since it is smaller than the sum of its proper divisors (5585199264).

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

2864255904 is a wasteful number, since it uses less digits than its factorization.

2864255904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2864255904 is about 53518.7434830079. The cubic root of 2864255904 is about 1420.1599872640.

The spelling of 2864255904 in words is "two billion, eight hundred sixty-four million, two hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 367 432 648 734 864 1101 1296 1468 2202 2592 2936 3011 3303 4404 5872 6022 6606 8808 9033 9909 11744 12044 13212 17616 18066 19818 24088 26424 27099 29727 35232 36132 39636 48176 52848 54198 59454 72264 79272 81297 96352 105696 108396 118908 144528 158544 162594 216792 237816 243891 289056 317088 325188 433584 475632 487782 650376 867168 951264 975564 1105037 1300752 1951128 2210074 2601504 3315111 3902256 4420148 6630222 7804512 8840296 9945333 13260444 17680592 19890666 26520888 29835999 35361184 39781332 53041776 59671998 79562664 89507997 106083552 119343996 159125328 179015994 238687992 318250656 358031988 477375984 716063976 954751968 1432127952 2864255904