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1025627424 = 25367159457
BaseRepresentation
bin111101001000011…
…101010100100000
32122110220021022220
4331020131110200
54100030034144
6245434431040
734262455263
oct7510352440
92573807286
101025627424
11486a38078
12247592480
13134640b43
149a2dccda
1560094919
hex3d21d520

1025627424 has 48 divisors (see below), whose sum is σ = 2732472288. Its totient is φ = 336771072.

The previous prime is 1025627419. The next prime is 1025627453. The reversal of 1025627424 is 4247265201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10256274242 = 2103823225721751552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73297 + ... + 86160.

It is an arithmetic number, because the mean of its divisors is an integer number (56926506).

Almost surely, 21025627424 is an apocalyptic number.

It is an amenable number.

1025627424 is an abundant number, since it is smaller than the sum of its proper divisors (1706844864).

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

1025627424 is a wasteful number, since it uses less digits than its factorization.

1025627424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159537 (or 159529 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1025627424 is about 32025.4184047609. The cubic root of 1025627424 is about 1008.4705223321.

The spelling of 1025627424 in words is "one billion, twenty-five million, six hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 159457 318914 478371 637828 956742 1275656 1913484 2551312 3826968 5102624 7653936 10683619 15307872 21367238 32050857 42734476 64101714 85468952 128203428 170937904 256406856 341875808 512813712 1025627424