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4410933940 = 2257219323321
BaseRepresentation
bin1000001101110100…
…11000001010110100
3102101101221122211201
410012322120022310
533013144341230
62005405342244
7214210214500
oct40672301264
912341848751
104410933940
111963947a56
12a31267984
13553ac09aa
142dbb63300
151ac3985ca
hex106e982b4

4410933940 has 72 divisors (see below), whose sum is σ = 10831576392. Its totient is φ = 1504419840.

The previous prime is 4410933911. The next prime is 4410933971. The reversal of 4410933940 is 493390144.

It can be written as a sum of positive squares in 4 ways, for example, as 123565456 + 4287368484 = 11116^2 + 65478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4410933940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177480 + ... + 200800.

It is an arithmetic number, because the mean of its divisors is an integer number (150438561).

Almost surely, 24410933940 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 4410933940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415788196).

4410933940 is an abundant number, since it is smaller than the sum of its proper divisors (6420642452).

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

4410933940 is a wasteful number, since it uses less digits than its factorization.

4410933940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537 (or 23528 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 4410933940 is about 66414.8623427016. The cubic root of 4410933940 is about 1639.9987532213.

The spelling of 4410933940 in words is "four billion, four hundred ten million, nine hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 193 196 245 386 490 772 965 980 1351 1930 2702 3860 5404 6755 9457 13510 18914 23321 27020 37828 46642 47285 93284 94570 116605 163247 189140 233210 326494 466420 652988 816235 1142729 1632470 2285458 3264940 4500953 4570916 5713645 9001906 11427290 18003812 22504765 22854580 31506671 45009530 63013342 90019060 126026684 157533355 220546697 315066710 441093394 630133420 882186788 1102733485 2205466970 4410933940