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1055672352 = 2534783701
BaseRepresentation
bin111110111011000…
…100100000100000
32201120102201020000
4332323010200200
54130223003402
6252430420000
735106031650
oct7673044040
92646381200
101055672352
114a1999299
12255661600
1313a9303c7
14a02c0360
1562a2bc1c
hex3eec4820

1055672352 has 240 divisors, whose sum is σ = 3596104512. Its totient is φ = 297561600.

The previous prime is 1055672351. The next prime is 1055672393. The reversal of 1055672352 is 2532765501.

1055672352 is a `hidden beast` number, since 1 + 0 + 556 + 72 + 35 + 2 = 666.

It is a super-2 number, since 2×10556723522 = 2228888229554423808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1055672351) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1505602 + ... + 1506302.

Almost surely, 21055672352 is an apocalyptic number.

1055672352 is a gapful number since it is divisible by the number (12) 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 1055672352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798052256).

1055672352 is an abundant number, since it is smaller than the sum of its proper divisors (2540432160).

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

1055672352 is an equidigital number, since it uses as much as digits as its factorization.

1055672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1055672352 is about 32491.1118923314. Note that the first 3 decimals coincide. The cubic root of 1055672352 is about 1018.2233431658.

The spelling of 1055672352 in words is "one billion, fifty-five million, six hundred seventy-two thousand, three hundred fifty-two".