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1007113944 = 233128332707
BaseRepresentation
bin111100000001110…
…101011011011000
32121012001200121110
4330001311123120
54030310121234
6243533540320
733646220154
oct7401653330
92535050543
101007113944
11477542681
122413446a0
1313085b215
1497a80064
155d6391e9
hex3c0756d8

1007113944 has 32 divisors (see below), whose sum is σ = 2519824320. Its totient is φ = 335432736.

The previous prime is 1007113901. The next prime is 1007113993. The reversal of 1007113944 is 4493117001.

1007113944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14439 + ... + 47145.

It is an arithmetic number, because the mean of its divisors is an integer number (78744510).

Almost surely, 21007113944 is an apocalyptic number.

It is an amenable number.

1007113944 is an abundant number, since it is smaller than the sum of its proper divisors (1512710376).

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

1007113944 is a wasteful number, since it uses less digits than its factorization.

1007113944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33999 (or 33995 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1007113944 is about 31735.0585945575. The cubic root of 1007113944 is about 1002.3657136523.

The spelling of 1007113944 in words is "one billion, seven million, one hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1283 2566 3849 5132 7698 10264 15396 30792 32707 65414 98121 130828 196242 261656 392484 784968 41963081 83926162 125889243 167852324 251778486 335704648 503556972 1007113944