Search a number
-
+
1047682464 = 253173199317
BaseRepresentation
bin111110011100100…
…101110110100000
32201000101210011020
4332130211312200
54121201314324
6251543245440
734651103553
oct7634456640
92630353136
101047682464
11498431384
12252a49880
1313909376a
149d20069a
1561e9e679
hex3e725da0

1047682464 has 96 divisors (see below), whose sum is σ = 2788732800. Its totient is φ = 344374272.

The previous prime is 1047682463. The next prime is 1047682483. The reversal of 1047682464 is 4642867401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10476824642 = 2195277090746222592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1047682463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3304834 + ... + 3305150.

It is an arithmetic number, because the mean of its divisors is an integer number (29049300).

Almost surely, 21047682464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394366400).

1047682464 is an abundant number, since it is smaller than the sum of its proper divisors (1741050336).

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

1047682464 is a wasteful number, since it uses less digits than its factorization.

1047682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 1047682464 is about 32367.9233810265. The cubic root of 1047682464 is about 1015.6480170361.

The spelling of 1047682464 in words is "one billion, forty-seven million, six hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 199 317 346 398 519 597 634 692 796 951 1038 1194 1268 1384 1592 1902 2076 2388 2536 2768 3184 3804 4152 4776 5072 5536 6368 7608 8304 9552 10144 15216 16608 19104 30432 34427 54841 63083 68854 103281 109682 126166 137708 164523 189249 206562 219364 252332 275416 329046 378498 413124 438728 504664 550832 658092 756996 826248 877456 1009328 1101664 1316184 1513992 1652496 1754912 2018656 2632368 3027984 3304992 5264736 6055968 10913359 21826718 32740077 43653436 65480154 87306872 130960308 174613744 261920616 349227488 523841232 1047682464