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2492294784 = 27378311171
BaseRepresentation
bin1001010010001101…
…0110011010000000
320102200200200201020
42110203112122000
520101011413114
61051150305440
7115522104360
oct22443263200
96380620636
102492294784
111069920a61
125967b8280
13309462255
141990069a0
15e8c07aa9
hex948d6680

2492294784 has 128 divisors (see below), whose sum is σ = 7657735680. Its totient is φ = 703441920.

The previous prime is 2492294731. The next prime is 2492294797. The reversal of 2492294784 is 4874922942.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217519 + ... + 228689.

It is an arithmetic number, because the mean of its divisors is an integer number (59826060).

Almost surely, 22492294784 is an apocalyptic number.

2492294784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828867840).

2492294784 is an abundant number, since it is smaller than the sum of its proper divisors (5165440896).

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

2492294784 is a wasteful number, since it uses less digits than its factorization.

2492294784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11278 (or 11266 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 2492294784 is about 49922.8883779775. Note that the first 3 decimals coincide. The cubic root of 2492294784 is about 1355.8130284057.

It can be divided in two parts, 249 and 2294784, that multiplied together give a square (571401216 = 239042).

The spelling of 2492294784 in words is "two billion, four hundred ninety-two million, two hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 332 336 384 448 498 581 664 672 896 996 1162 1328 1344 1743 1992 2324 2656 2688 3486 3984 4648 5312 6972 7968 9296 10624 11171 13944 15936 18592 22342 27888 31872 33513 37184 44684 55776 67026 74368 78197 89368 111552 134052 156394 178736 223104 234591 268104 312788 357472 469182 536208 625576 714944 927193 938364 1072416 1251152 1429888 1854386 1876728 2144832 2502304 2781579 3708772 3753456 4289664 5004608 5563158 6490351 7417544 7506912 10009216 11126316 12980702 14835088 15013824 19471053 22252632 25961404 29670176 30027648 38942106 44505264 51922808 59340352 77884212 89010528 103845616 118680704 155768424 178021056 207691232 311536848 356042112 415382464 623073696 830764928 1246147392 2492294784