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1058285632 = 26172291973
BaseRepresentation
bin111111000101000…
…010100001000000
32201202100110222011
4333011002201000
54131410120012
6253002422304
735140164565
oct7705024100
92652313864
101058285632
114a3413728
12256501994
1313b336a21
14a07a086c
1562d961a7
hex3f142840

1058285632 has 84 divisors (see below), whose sum is σ = 2308928580. Its totient is φ = 480600064.

The previous prime is 1058285597. The next prime is 1058285633. The reversal of 1058285632 is 2365828501.

It can be written as a sum of positive squares in 6 ways, for example, as 25563136 + 1032722496 = 5056^2 + 32136^2 .

It is a super-2 number, since 2×10582856322 = 2239936957795278848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1058285633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535398 + ... + 537370.

It is an arithmetic number, because the mean of its divisors is an integer number (27487245).

Almost surely, 21058285632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1058285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154464290).

1058285632 is an abundant number, since it is smaller than the sum of its proper divisors (1250642948).

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

1058285632 is a wasteful number, since it uses less digits than its factorization.

1058285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 1058285632 is about 32531.3023409761. The cubic root of 1058285632 is about 1019.0628429249.

The spelling of 1058285632 in words is "one billion, fifty-eight million, two hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 289 464 493 544 578 928 986 1088 1156 1856 1972 1973 2312 3944 3946 4624 7888 7892 8381 9248 15776 15784 16762 18496 31552 31568 33524 33541 57217 63136 67048 67082 114434 126272 134096 134164 228868 268192 268328 457736 536384 536656 570197 915472 972689 1073312 1140394 1830944 1945378 2146624 2280788 3661888 3890756 4561576 7781512 9123152 15563024 16535713 18246304 31126048 33071426 36492608 62252096 66142852 132285704 264571408 529142816 1058285632