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4396961440 = 25529947621
BaseRepresentation
bin1000001100001010…
…00100111010100000
3102100102122210011201
410012011010322200
533001110231230
62004150050544
7213650361364
oct40605047240
912312583151
104396961440
111956a74233
12a28649a54
13550c3ac41
142d9d672a4
151ab0385ca
hex106144ea0

4396961440 has 48 divisors (see below), whose sum is σ = 10746033480. Its totient is φ = 1698135040.

The previous prime is 4396961423. The next prime is 4396961449. The reversal of 4396961440 is 441696934.

It can be written as a sum of positive squares in 4 ways, for example, as 3698099344 + 698862096 = 60812^2 + 26436^2 .

It is not an unprimeable number, because it can be changed into a prime (4396961449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 469171 + ... + 478450.

Almost surely, 24396961440 is an apocalyptic number.

4396961440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4396961440 is an abundant number, since it is smaller than the sum of its proper divisors (6349072040).

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

4396961440 is a wasteful number, since it uses less digits than its factorization.

4396961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947665 (or 947657 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 4396961440 is about 66309.5878436897. The cubic root of 4396961440 is about 1638.2652487557.

The spelling of 4396961440 in words is "four billion, three hundred ninety-six million, nine hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 947621 1895242 3790484 4738105 7580968 9476210 15161936 18952420 27481009 30323872 37904840 54962018 75809680 109924036 137405045 151619360 219848072 274810090 439696144 549620180 879392288 1099240360 2198480720 4396961440