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4003666240 = 26571787351
BaseRepresentation
bin1110111010100011…
…0001100101000000
3101100000121022120211
43232220301211000
531144414304430
61501140243504
7201133413220
oct35650614500
911300538524
104003666240
111774a68782
129389a0594
134ba6063a2
1429da2a080
1518674b72a
hexeea31940

4003666240 has 56 divisors (see below), whose sum is σ = 10895697792. Its totient is φ = 1372684800.

The previous prime is 4003666229. The next prime is 4003666279. The reversal of 4003666240 is 426663004.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×40036662402 = 32058686722631475200, which contains 22 as substring.

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, 891436 + ... + 895915.

It is an arithmetic number, because the mean of its divisors is an integer number (194566032).

Almost surely, 24003666240 is an apocalyptic number.

4003666240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003666240 is an abundant number, since it is smaller than the sum of its proper divisors (6892031552).

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

4003666240 is a wasteful number, since it uses less digits than its factorization.

4003666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787375 (or 1787365 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 4003666240 is about 63274.5307370983. The cubic root of 4003666240 is about 1587.8858866411.

It can be divided in two parts, 40036 and 66240, that added together give a square (106276 = 3262).

The spelling of 4003666240 in words is "four billion, three million, six hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 1787351 3574702 7149404 8936755 12511457 14298808 17873510 25022914 28597616 35747020 50045828 57195232 62557285 71494040 100091656 114390464 125114570 142988080 200183312 250229140 285976160 400366624 500458280 571952320 800733248 1000916560 2001833120 4003666240