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2078812836 = 22341721492
BaseRepresentation
bin111101111101000…
…0010101010100100
312100212122122010000
41323322002222210
513224134002321
6542140101300
7102341421552
oct17372025244
95325578100
102078812836
11977487941
124a0234830
132718b0289
1415a132bd2
15c277e826
hex7be82aa4

2078812836 has 135 divisors (see below), whose sum is σ = 5811908179. Its totient is φ = 647799552.

The previous prime is 2078812831. The next prime is 2078812859. The reversal of 2078812836 is 6382188702.

The square root of 2078812836 is 45594.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40832100 + 2037980736 = 6390^2 + 45144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2078812791 and 2078812800.

It is not an unprimeable number, because it can be changed into a prime (2078812831) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13951690 + ... + 13951838.

Almost surely, 22078812836 is an apocalyptic number.

2078812836 is the 45594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078812836

2078812836 is an abundant number, since it is smaller than the sum of its proper divisors (3733095343).

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

2078812836 is a wasteful number, since it uses less digits than its factorization.

2078812836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The cubic root of 2078812836 is about 1276.2579584471.

The spelling of 2078812836 in words is "two billion, seventy-eight million, eight hundred twelve thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 149 153 162 204 289 298 306 324 447 459 578 596 612 867 894 918 1156 1341 1377 1734 1788 1836 2533 2601 2682 2754 3468 4023 5066 5202 5364 5508 7599 7803 8046 10132 10404 12069 15198 15606 16092 22201 22797 23409 24138 30396 31212 43061 44402 45594 46818 48276 66603 68391 86122 88804 91188 93636 129183 133206 136782 172244 199809 205173 258366 266412 273564 377417 387549 399618 410346 516732 599427 754834 775098 799236 820692 1132251 1162647 1198854 1509668 1550196 1798281 2264502 2325294 2397708 3396753 3487941 3596562 4529004 4650588 6416089 6793506 6975882 7193124 10190259 12832178 13587012 13951764 19248267 20380518 25664356 30570777 38496534 40761036 57744801 61141554 76993068 115489602 122283108 173234403 230979204 346468806 519703209 692937612 1039406418 2078812836