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4411403392 = 271115120749
BaseRepresentation
bin1000001101111000…
…01010110010000000
3102101102211111210211
410012330022302000
533013304402032
62005423403504
7214214211244
oct40674126200
912342744724
104411403392
111964138730
12a31453594
13553c26586
142dbc46424
151ac43c747
hex106f0ac80

4411403392 has 64 divisors (see below), whose sum is σ = 9651240000. Its totient is φ = 1991808000.

The previous prime is 4411403387. The next prime is 4411403393. The reversal of 4411403392 is 2933041144.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4411403393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202234 + ... + 222982.

It is an arithmetic number, because the mean of its divisors is an integer number (150800625).

Almost surely, 24411403392 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 4411403392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825620000).

4411403392 is an abundant number, since it is smaller than the sum of its proper divisors (5239836608).

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

4411403392 is a wasteful number, since it uses less digits than its factorization.

4411403392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20925 (or 20913 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 4411403392 is about 66418.3964877202. The cubic root of 4411403392 is about 1640.0569323880.

The spelling of 4411403392 in words is "four billion, four hundred eleven million, four hundred three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 151 176 302 352 604 704 1208 1408 1661 2416 3322 4832 6644 9664 13288 19328 20749 26576 41498 53152 82996 106304 165992 212608 228239 331984 456478 663968 912956 1327936 1825912 2655872 3133099 3651824 6266198 7303648 12532396 14607296 25064792 29214592 34464089 50129584 68928178 100259168 137856356 200518336 275712712 401036672 551425424 1102850848 2205701696 4411403392