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874971468 = 2232731311093
BaseRepresentation
bin110100001001110…
…000000101001100
32020222102011012200
4310021300011030
53242443041333
6222453401500
730453064140
oct6411600514
92228364180
10874971468
11409998018
12205039290
1310c3724c7
14842c3220
1551c35c13
hex3427014c

874971468 has 72 divisors (see below), whose sum is σ = 2535999648. Its totient is φ = 249170688.

The previous prime is 874971437. The next prime is 874971491. The reversal of 874971468 is 864179478.

It is a happy number.

874971468 is a `hidden beast` number, since 8 + 7 + 497 + 146 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73330 + ... + 84422.

Almost surely, 2874971468 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 874971468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267999824).

874971468 is an abundant number, since it is smaller than the sum of its proper divisors (1661028180).

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

874971468 is a wasteful number, since it uses less digits than its factorization.

874971468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423 (or 11418 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 874971468 is about 29579.9166327426. The cubic root of 874971468 is about 956.4551951299.

The spelling of 874971468 in words is "eight hundred seventy-four million, nine hundred seventy-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 313 626 939 1252 1878 2191 2817 3756 4382 5634 6573 8764 11093 11268 13146 19719 22186 26292 33279 39438 44372 66558 77651 78876 99837 133116 155302 199674 232953 310604 399348 465906 698859 931812 1397718 2795436 3472109 6944218 10416327 13888436 20832654 24304763 31248981 41665308 48609526 62497962 72914289 97219052 124995924 145828578 218742867 291657156 437485734 874971468