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1025075264 = 26314710993
BaseRepresentation
bin111101000110010…
…110100001000000
32122102212012220112
4331012112201000
54044404402024
6245414530452
734254665423
oct7506264100
92572765815
101025075264
114866a0244
12247366a28
131344a9715
149a1d79ba
155eed600e
hex3d196840

1025075264 has 56 divisors (see below), whose sum is σ = 2144621568. Its totient is φ = 485406720.

The previous prime is 1025075257. The next prime is 1025075273. The reversal of 1025075264 is 4625705201.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1025075264.

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, 87752 + ... + 98744.

Almost surely, 21025075264 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 1025075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072310784).

1025075264 is an abundant number, since it is smaller than the sum of its proper divisors (1119546304).

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

1025075264 is a wasteful number, since it uses less digits than its factorization.

1025075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 1025075264 is about 32016.7965917891. The cubic root of 1025075264 is about 1008.2895153936.

The spelling of 1025075264 in words is "one billion, twenty-five million, seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 188 248 376 496 752 992 1457 1504 1984 2914 3008 5828 10993 11656 21986 23312 43972 46624 87944 93248 175888 340783 351776 516671 681566 703552 1033342 1363132 2066684 2726264 4133368 5452528 8266736 10905056 16016801 16533472 21810112 32033602 33066944 64067204 128134408 256268816 512537632 1025075264