Search a number
-
+
1826536644 = 22321724192
BaseRepresentation
bin110110011011110…
…1011110011000100
311201021221200020100
41230313223303010
512220043133034
6501125004100
763156206502
oct15467536304
94637850210
101826536644
1185803a019
1242b853630
1323155181a
14134823672
15aa54b099
hex6cdebcc4

1826536644 has 81 divisors (see below), whose sum is σ = 4916381197. Its totient is φ = 571663488.

The previous prime is 1826536639. The next prime is 1826536669. The reversal of 1826536644 is 4466356281.

The square root of 1826536644 is 42738.

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., 1422044100 + 404492544 = 37710^2 + 20112^2 .

It is a super-2 number, since 2×18265366442 = 6672472223749565472, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1826536644.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4359067 + ... + 4359485.

Almost surely, 21826536644 is an apocalyptic number.

1826536644 is the 42738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1826536644

1826536644 is an abundant number, since it is smaller than the sum of its proper divisors (3089844553).

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

1826536644 is a wasteful number, since it uses less digits than its factorization.

1826536644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 441 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The cubic root of 1826536644 is about 1222.3890844959.

The spelling of 1826536644 in words is "one billion, eight hundred twenty-six million, five hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 419 578 612 838 867 1156 1257 1676 1734 2514 2601 3468 3771 5028 5202 7123 7542 10404 14246 15084 21369 28492 42738 64107 85476 121091 128214 175561 242182 256428 351122 363273 484364 526683 702244 726546 1053366 1089819 1453092 1580049 2106732 2179638 2984537 3160098 4359276 5969074 6320196 8953611 11938148 17907222 26860833 35814444 50737129 53721666 101474258 107443332 152211387 202948516 304422774 456634161 608845548 913268322 1826536644