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1024639044 = 22311133671627
BaseRepresentation
bin111101000100101…
…100000001000100
32122102001001112020
4331010230001010
54044301422134
6245401323140
734251200562
oct7504540104
92572031466
101024639044
11486422530
122471964b0
13134385cc0
149a122a32
155ee4bb49
hex3d12c044

1024639044 has 96 divisors (see below), whose sum is σ = 2818185216. Its totient is φ = 285655680.

The previous prime is 1024639043. The next prime is 1024639061. The reversal of 1024639044 is 4409364201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1024638996 and 1024639014.

It is not an unprimeable number, because it can be changed into a prime (1024639043) 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 31 ways as a sum of consecutive naturals, for example, 628959 + ... + 630585.

It is an arithmetic number, because the mean of its divisors is an integer number (29356096).

Almost surely, 21024639044 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 1024639044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409092608).

1024639044 is an abundant number, since it is smaller than the sum of its proper divisors (1793546172).

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

1024639044 is a wasteful number, since it uses less digits than its factorization.

1024639044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1024639044 is about 32009.9835051504. The cubic root of 1024639044 is about 1008.1464694882.

The spelling of 1024639044 in words is "one billion, twenty-four million, six hundred thirty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 367 429 572 734 858 1101 1468 1627 1716 2202 3254 4037 4404 4771 4881 6508 8074 9542 9762 12111 14313 16148 17897 19084 19524 21151 24222 28626 35794 42302 48444 52481 53691 57252 63453 71588 84604 104962 107382 126906 157443 209924 214764 232661 253812 314886 465322 597109 629772 697983 930644 1194218 1395966 1791327 2388436 2791932 3582654 6568199 7165308 7762417 13136398 15524834 19704597 23287251 26272796 31049668 39409194 46574502 78818388 85386587 93149004 170773174 256159761 341546348 512319522 1024639044