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4240445904 = 243417318913
BaseRepresentation
bin1111110011000000…
…0001000111010000
3101221112010222020000
43330300001013100
532141023232104
61540435250000
7210040124022
oct37460010720
911845128200
104240445904
111886691852
129a4149900
1352769a4b6
142c3264012
1519c41d639
hexfcc011d0

4240445904 has 100 divisors (see below), whose sum is σ = 12344676036. Its totient is φ = 1405237248.

The previous prime is 4240445849. The next prime is 4240445921. The reversal of 4240445904 is 4095440424.

It is a happy number.

4240445904 is a `hidden beast` number, since 4 + 24 + 0 + 44 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4000815504 + 239630400 = 63252^2 + 15480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 214752 + ... + 233664.

Almost surely, 24240445904 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 4240445904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6172338018).

4240445904 is an abundant number, since it is smaller than the sum of its proper divisors (8104230132).

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

4240445904 is a wasteful number, since it uses less digits than its factorization.

4240445904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19106 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4240445904 is about 65118.7062525047. The cubic root of 4240445904 is about 1618.5912032100.

The spelling of 4240445904 in words is "four billion, two hundred forty million, four hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 324 346 432 519 648 692 1038 1296 1384 1557 2076 2768 3114 4152 4671 6228 8304 9342 12456 14013 18684 18913 24912 28026 37368 37826 56052 56739 74736 75652 112104 113478 151304 170217 224208 226956 302608 340434 453912 510651 680868 907824 1021302 1361736 1531953 2042604 2723472 3063906 3271949 4085208 6127812 6543898 8170416 9815847 12255624 13087796 19631694 24511248 26175592 29447541 39263388 52351184 58895082 78526776 88342623 117790164 157053552 176685246 235580328 265027869 353370492 471160656 530055738 706740984 1060111476 1413481968 2120222952 4240445904