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1058427144 = 2332127115751
BaseRepresentation
bin111111000101100…
…101000100001000
32201202121200002100
4333011211010020
54131424132034
6253005433400
735141324265
oct7705450410
92652550070
101058427144
114a34aaa85
1225656b860
1313b386268
14a07da26c
1562dc3099
hex3f165108

1058427144 has 48 divisors (see below), whose sum is σ = 2889169920. Its totient is φ = 350028000.

The previous prime is 1058427127. The next prime is 1058427151. The reversal of 1058427144 is 4417248501.

It is a happy number.

1058427144 is a `hidden beast` number, since 1 + 0 + 584 + 2 + 71 + 4 + 4 = 666.

It is a super-2 number, since 2×10584271442 = 2240536038311993472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1058427099 and 1058427108.

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 11 ways as a sum of consecutive naturals, for example, 48732 + ... + 67019.

It is an arithmetic number, because the mean of its divisors is an integer number (60191040).

Almost surely, 21058427144 is an apocalyptic number.

It is an amenable number.

1058427144 is an abundant number, since it is smaller than the sum of its proper divisors (1830742776).

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

1058427144 is a wasteful number, since it uses less digits than its factorization.

1058427144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115890 (or 115883 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1058427144 is about 32533.4772811023. The cubic root of 1058427144 is about 1019.1082633008.

The spelling of 1058427144 in words is "one billion, fifty-eight million, four hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 115751 231502 347253 463004 694506 926008 1041759 1389012 2083518 2778024 4167036 8334072 14700377 29400754 44101131 58801508 88202262 117603016 132303393 176404524 264606786 352809048 529213572 1058427144