Search a number
-
+
820268472 = 23397352349
BaseRepresentation
bin110000111001000…
…100110110111000
32010011110221210210
4300321010312320
53134442042342
6213221111120
726220111162
oct6071046670
92104427723
10820268472
11391024931
121aa8584a0
13100c2b57a
147ad23932
154c02c79c
hex30e44db8

820268472 has 32 divisors (see below), whose sum is σ = 2071818000. Its totient is φ = 270603264.

The previous prime is 820268453. The next prime is 820268483. The reversal of 820268472 is 274862028.

It is a self number, because there is not a number n which added to its sum of digits gives 820268472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173847 + ... + 178502.

Almost surely, 2820268472 is an apocalyptic number.

It is an amenable number.

820268472 is an abundant number, since it is smaller than the sum of its proper divisors (1251549528).

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

820268472 is a wasteful number, since it uses less digits than its factorization.

820268472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352455 (or 352451 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 820268472 is about 28640.3294673787. The cubic root of 820268472 is about 936.0923004164.

The spelling of 820268472 in words is "eight hundred twenty million, two hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1164 2328 352349 704698 1057047 1409396 2114094 2818792 4228188 8456376 34177853 68355706 102533559 136711412 205067118 273422824 410134236 820268472