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4426125520 = 245239724799
BaseRepresentation
bin1000001111101000…
…10101000011010000
3102102110112110202211
410013310111003100
533031042004040
62011111121504
7214453306015
oct40764250320
912373473684
104426125520
111971483683
12a36373294
13556cac5ab
142ddb9970c
151ad8998ea
hex107d150d0

4426125520 has 80 divisors (see below), whose sum is σ = 10849305600. Its totient is φ = 1675948032.

The previous prime is 4426125469. The next prime is 4426125523. The reversal of 4426125520 is 255216244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426125523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 166081 + ... + 190879.

It is an arithmetic number, because the mean of its divisors is an integer number (135616320).

Almost surely, 24426125520 is an apocalyptic number.

4426125520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4426125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424652800).

4426125520 is an abundant number, since it is smaller than the sum of its proper divisors (6423180080).

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

4426125520 is a wasteful number, since it uses less digits than its factorization.

4426125520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24932 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 4426125520 is about 66529.1328667374. The cubic root of 4426125520 is about 1641.8793545573.

The spelling of 4426125520 in words is "four billion, four hundred twenty-six million, one hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 97 115 184 194 230 368 388 460 485 776 920 970 1552 1840 1940 2231 3880 4462 7760 8924 11155 17848 22310 24799 35696 44620 49598 89240 99196 123995 178480 198392 247990 396784 495980 570377 991960 1140754 1983920 2281508 2405503 2851885 4563016 4811006 5703770 9126032 9622012 11407540 12027515 19244024 22815080 24055030 38488048 45630160 48110060 55326569 96220120 110653138 192440240 221306276 276632845 442612552 553265690 885225104 1106531380 2213062760 4426125520