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4295445924 = 22371110914261
BaseRepresentation
bin1000000000000011…
…10100110110100100
3102002100122021001210
410000001310312210
532244113232144
61550122151420
7211305454650
oct40001646644
912070567053
104295445924
111904738110
129ba652570
13535bb66a3
142ca69da60
151a2184ab9
hex100074da4

4295445924 has 96 divisors (see below), whose sum is σ = 12510231552. Its totient is φ = 1114416000.

The previous prime is 4295445899. The next prime is 4295445953.

4295445924 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 1005954 + ... + 1010214.

It is an arithmetic number, because the mean of its divisors is an integer number (130314912).

Almost surely, 24295445924 is an apocalyptic number.

4295445924 is a gapful number since it is divisible by the number (44) 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 4295445924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255115776).

4295445924 is an abundant number, since it is smaller than the sum of its proper divisors (8214785628).

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

4295445924 is a wasteful number, since it uses less digits than its factorization.

4295445924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5375 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 4295445924 is about 65539.6515401173. The cubic root of 4295445924 is about 1625.5590564321.

The spelling of 4295445924 in words is "four billion, two hundred ninety-five million, four hundred forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1091 2182 3273 4261 4364 6546 7637 8522 12001 12783 13092 15274 17044 22911 24002 25566 29827 30548 36003 45822 46871 48004 51132 59654 72006 84007 89481 91644 93742 119308 140613 144012 168014 178962 187484 252021 281226 328097 336028 357924 504042 562452 656194 984291 1008084 1312388 1968582 3937164 4648751 9297502 13946253 18595004 27892506 32541257 51136261 55785012 65082514 97623771 102272522 130165028 153408783 195247542 204545044 306817566 357953827 390495084 613635132 715907654 1073861481 1431815308 2147722962 4295445924