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1052988840 = 2332517229349
BaseRepresentation
bin111110110000110…
…101010110101000
32201101101101010200
4332300311112220
54124031120330
6252253112200
735044154211
oct7660652650
92641341120
101052988840
114a0426112
12254788660
1313a200b27
149dbc2408
156269ba60
hex3ec355a8

1052988840 has 288 divisors, whose sum is σ = 3771495000. Its totient is φ = 254435328.

The previous prime is 1052988821. The next prime is 1052988841. The reversal of 1052988840 is 488892501.

It is a happy number.

1052988840 is a `hidden beast` number, since 1 + 0 + 529 + 8 + 88 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 490445316 + 562543524 = 22146^2 + 23718^2 .

It is a super-2 number, since 2×10529888402 = 2217570994329091200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1052988841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3016986 + ... + 3017334.

Almost surely, 21052988840 is an apocalyptic number.

1052988840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052988840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885747500).

1052988840 is an abundant number, since it is smaller than the sum of its proper divisors (2718506160).

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

1052988840 is a wasteful number, since it uses less digits than its factorization.

1052988840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1052988840 is about 32449.7895216595. The cubic root of 1052988840 is about 1017.3598387871.

The spelling of 1052988840 in words is "one billion, fifty-two million, nine hundred eighty-eight thousand, eight hundred forty".