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4406420736 = 2834212501
BaseRepresentation
bin1000001101010010…
…01010010100000000
3102101002110100220000
410012221022110000
533011020430421
62005124520000
7214123646454
oct40651122400
912332410800
104406420736
111961345133
12a2b850000
13552ba0663
142db30a664
151abca6226
hex106a4a500

4406420736 has 90 divisors (see below), whose sum is σ = 13139211162. Its totient is φ = 1468800000.

The previous prime is 4406420719. The next prime is 4406420737. The reversal of 4406420736 is 6370246044.

4406420736 is a `hidden beast` number, since 4 + 4 + 0 + 642 + 0 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4292870400 + 113550336 = 65520^2 + 10656^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4406420736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406420737) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 85515 + ... + 126986.

Almost surely, 24406420736 is an apocalyptic number.

It is an amenable number.

4406420736 is an abundant number, since it is smaller than the sum of its proper divisors (8732790426).

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

4406420736 is an equidigital number, since it uses as much as digits as its factorization.

4406420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212529 (or 212506 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4406420736 is about 66380.8762822547. The cubic root of 4406420736 is about 1639.4392213180.

The spelling of 4406420736 in words is "four billion, four hundred six million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 212501 425002 637503 850004 1275006 1700008 1912509 2550012 3400016 3825018 5100024 5737527 6800032 7650036 10200048 11475054 13600064 15300072 17212581 20400096 22950108 27200128 30600144 34425162 40800192 45900216 54400256 61200288 68850324 81600384 91800432 122400576 137700648 163200768 183600864 244801152 275401296 367201728 489602304 550802592 734403456 1101605184 1468806912 2203210368 4406420736