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1057783376 = 24135085497
BaseRepresentation
bin111111000011000…
…111111001010000
32201201101222000002
4333003013321100
54131243032001
6252543545132
735133003356
oct7703077120
92651358002
101057783376
114a3100341
122562bb1a8
1313b1bc230
14a06ad7d6
1562ce746b
hex3f0c7e50

1057783376 has 20 divisors (see below), whose sum is σ = 2207106132. Its totient is φ = 488207616.

The previous prime is 1057783369. The next prime is 1057783379. The reversal of 1057783376 is 6733877501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 672053776 + 385729600 = 25924^2 + 19640^2 .

It is a super-2 number, since 2×10577833762 = 2237811341083914752, 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 1057783376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057783379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2542541 + ... + 2542956.

Almost surely, 21057783376 is an apocalyptic number.

1057783376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057783376 is an abundant number, since it is smaller than the sum of its proper divisors (1149322756).

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

1057783376 is a wasteful number, since it uses less digits than its factorization.

1057783376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085518 (or 5085512 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The square root of 1057783376 is about 32523.5818445632. The cubic root of 1057783376 is about 1018.9016037144.

The spelling of 1057783376 in words is "one billion, fifty-seven million, seven hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 5085497 10170994 20341988 40683976 66111461 81367952 132222922 264445844 528891688 1057783376