Search a number
-
+
7828242948 = 2233292499439
BaseRepresentation
bin1110100101001100…
…11000001000000100
3202012120012221112000
413102212120020010
5112013012233243
63332442225300
7364663652511
oct72246301004
922176187460
107828242948
113357925879
1216257b5230
13979a97126
14543958308
1530c3be5d3
hex1d2998204

7828242948 has 48 divisors (see below), whose sum is σ = 20995296000. Its totient is φ = 2519433504.

The previous prime is 7828242937. The next prime is 7828242959. The reversal of 7828242948 is 8492428287.

7828242948 is a `hidden beast` number, since 78 + 282 + 4 + 294 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7828242937) and next prime (7828242959).

It is a super-2 number, since 2×78282429482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7828242894 and 7828242903.

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, 1246588 + ... + 1252851.

It is an arithmetic number, because the mean of its divisors is an integer number (437402000).

Almost surely, 27828242948 is an apocalyptic number.

It is an amenable number.

7828242948 is an abundant number, since it is smaller than the sum of its proper divisors (13167053052).

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

7828242948 is a wasteful number, since it uses less digits than its factorization.

7828242948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499481 (or 2499473 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 7828242948 is about 88477.3583918507. The cubic root of 7828242948 is about 1985.5832405588.

The spelling of 7828242948 in words is "seven billion, eight hundred twenty-eight million, two hundred forty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 2499439 4998878 7498317 9997756 14996634 22494951 29993268 44989902 67484853 72483731 89979804 134969706 144967462 217451193 269939412 289934924 434902386 652353579 869804772 1304707158 1957060737 2609414316 3914121474 7828242948