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1042632045 = 325721336373
BaseRepresentation
bin111110001001010…
…100110101101101
32200122220012021200
4332021110311231
54113403211140
6251243120113
734560140400
oct7611246555
92618805250
101042632045
114955a1984
12251213039
13138015a50
149c687d37
1561803030
hex3e254d6d

1042632045 has 72 divisors (see below), whose sum is σ = 2264063256. Its totient is φ = 439955712.

The previous prime is 1042632029. The next prime is 1042632053. The reversal of 1042632045 is 5402362401.

It can be written as a sum of positive squares in 4 ways, for example, as 47734281 + 994897764 = 6909^2 + 31542^2 .

It is not a de Polignac number, because 1042632045 - 24 = 1042632029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10479 + ... + 46851.

It is an arithmetic number, because the mean of its divisors is an integer number (31445323).

Almost surely, 21042632045 is an apocalyptic number.

1042632045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1042632045 is an abundant number, since it is smaller than the sum of its proper divisors (1221431211).

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

1042632045 is a wasteful number, since it uses less digits than its factorization.

1042632045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1042632045 is about 32289.8133317615. The cubic root of 1042632045 is about 1014.0133892937.

Adding to 1042632045 its reverse (5402362401), we get a palindrome (6444994446).

The spelling of 1042632045 in words is "one billion, forty-two million, six hundred thirty-two thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3185 4095 5733 9555 28665 36373 109119 181865 254611 327357 472849 545595 763833 1273055 1418547 1636785 1782277 2291499 2364245 3309943 3819165 4255641 5346831 7092735 8911385 9929829 11457495 16040493 16549715 21278205 23169601 26734155 29789487 49649145 69508803 80202465 115848005 148947435 208526409 347544015 1042632045