Search a number
-
+
2807213328 = 24337618539
BaseRepresentation
bin1010011101010010…
…1010110100010000
321020122021012202000
42213110222310100
521222121311303
61142320154000
7126364630263
oct24724526420
97218235660
102807213328
111210664a17
12664168900
1335978459a
141c8b80cda
151166b1da3
hexa752ad10

2807213328 has 80 divisors (see below), whose sum is σ = 8069275200. Its totient is φ = 934398720.

The previous prime is 2807213327. The next prime is 2807213329. The reversal of 2807213328 is 8233127082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2807213327) and next prime (2807213329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2807213292 and 2807213301.

It is not an unprimeable number, because it can be changed into a prime (2807213327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324483 + ... + 333021.

It is an arithmetic number, because the mean of its divisors is an integer number (100865940).

Almost surely, 22807213328 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 2807213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034637600).

2807213328 is an abundant number, since it is smaller than the sum of its proper divisors (5262061872).

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

2807213328 is a wasteful number, since it uses less digits than its factorization.

2807213328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2807213328 is about 52983.1419226908. The cubic root of 2807213328 is about 1410.6690532361.

The spelling of 2807213328 in words is "two billion, eight hundred seven million, two hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 761 1522 2283 3044 4566 6088 6849 8539 9132 12176 13698 17078 18264 20547 25617 27396 34156 36528 41094 51234 54792 68312 76851 82188 102468 109584 136624 153702 164376 204936 230553 307404 328752 409872 461106 614808 922212 1229616 1844424 3688848 6498179 12996358 19494537 25992716 38989074 51985432 58483611 77978148 103970864 116967222 155956296 175450833 233934444 311912592 350901666 467868888 701803332 935737776 1403606664 2807213328