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1057442784 = 25397113557
BaseRepresentation
bin111111000001110…
…100101111100000
32201200202122210120
4333001310233200
54131201132114
6252532400240
735130054366
oct7701645740
92650678716
101057442784
114a2998462
12256176080
1313b1001b8
14a0621636
1562c7b5a9
hex3f074be0

1057442784 has 48 divisors (see below), whose sum is σ = 2804428368. Its totient is φ = 348844032.

The previous prime is 1057442761. The next prime is 1057442797. The reversal of 1057442784 is 4872447501.

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

It is a super-2 number, since 2×10574427842 = 2236370482867341312, 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, 47467 + ... + 66090.

It is an arithmetic number, because the mean of its divisors is an integer number (58425591).

Almost surely, 21057442784 is an apocalyptic number.

It is an amenable number.

1057442784 is an abundant number, since it is smaller than the sum of its proper divisors (1746985584).

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

1057442784 is a wasteful number, since it uses less digits than its factorization.

1057442784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113667 (or 113659 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The square root of 1057442784 is about 32518.3453453585. The cubic root of 1057442784 is about 1018.7922344441.

The spelling of 1057442784 in words is "one billion, fifty-seven million, four hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 113557 227114 340671 454228 681342 908456 1362684 1816912 2725368 3633824 5450736 10901472 11015029 22030058 33045087 44060116 66090174 88120232 132180348 176240464 264360696 352480928 528721392 1057442784