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1326853476 = 22321324672
BaseRepresentation
bin100111100010110…
…0010110101100100
310102110201010210100
41033011202311210
510204133302401
6335355024100
744611032324
oct11705426544
93373633710
101326853476
11620a79723
1231043b030
13181b7aa00
14c8311284
157b746b86
hex4f162d64

1326853476 has 81 divisors (see below), whose sum is σ = 3639629721. Its totient is φ = 407388384.

The previous prime is 1326853469. The next prime is 1326853477. The reversal of 1326853476 is 6743586231.

The square root of 1326853476 is 36426.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 196280100 + 1130573376 = 14010^2 + 33624^2 .

It is not an unprimeable number, because it can be changed into a prime (1326853477) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2840995 + ... + 2841461.

Almost surely, 21326853476 is an apocalyptic number.

1326853476 is the 36426-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326853476

1326853476 is an abundant number, since it is smaller than the sum of its proper divisors (2312776245).

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

1326853476 is a wasteful number, since it uses less digits than its factorization.

1326853476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 485 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 1326853476 is about 1098.8565186174.

It can be divided in two parts, 132685 and 3476, that added together give a square (136161 = 3692).

The spelling of 1326853476 in words is "one billion, three hundred twenty-six million, eight hundred fifty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 467 468 507 676 934 1014 1401 1521 1868 2028 2802 3042 4203 5604 6071 6084 8406 12142 16812 18213 24284 36426 54639 72852 78923 109278 157846 218089 218556 236769 315692 436178 473538 654267 710307 872356 947076 1308534 1420614 1962801 2617068 2835157 2841228 3925602 5670314 7851204 8505471 11340628 17010942 25516413 34021884 36857041 51032826 73714082 102065652 110571123 147428164 221142246 331713369 442284492 663426738 1326853476