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1053499264 = 27411971019
BaseRepresentation
bin111110110010110…
…001111110000000
32201102100022022021
4332302301332000
54124143434024
6252312051224
735051411266
oct7662617600
92642308267
101053499264
114a0744654
12254993b14
1313a34c25c
149dcb6436
156274cde4
hex3ecb1f80

1053499264 has 64 divisors (see below), whose sum is σ = 2162991600. Its totient is φ = 510791680.

The previous prime is 1053499253. The next prime is 1053499267. The reversal of 1053499264 is 4629943501.

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

It is a super-2 number, since 2×10534992642 = 2219721398497083392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053499264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053499267) 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, 1033347 + ... + 1034365.

Almost surely, 21053499264 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 1053499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081495800).

1053499264 is an abundant number, since it is smaller than the sum of its proper divisors (1109492336).

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

1053499264 is a wasteful number, since it uses less digits than its factorization.

1053499264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 1053499264 is about 32457.6533963871. The cubic root of 1053499264 is about 1017.5241966529.

The spelling of 1053499264 in words is "one billion, fifty-three million, four hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 197 328 394 656 788 1019 1312 1576 2038 2624 3152 4076 5248 6304 8077 8152 12608 16154 16304 25216 32308 32608 41779 64616 65216 83558 129232 130432 167116 200743 258464 334232 401486 516928 668464 802972 1033856 1336928 1605944 2673856 3211888 5347712 6423776 8230463 12847552 16460926 25695104 32921852 65843704 131687408 263374816 526749632 1053499264