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1012494224 = 24723312409
BaseRepresentation
bin111100010110010…
…110111110010000
32121120012000222002
4330112112332100
54033144303344
6244245133132
734043026130
oct7426267620
92546160862
101012494224
1147a587995
122430ba1a8
131319c3111
1498680ac0
155dd4d44e
hex3c596f90

1012494224 has 120 divisors (see below), whose sum is σ = 2423237760. Its totient is φ = 400688640.

The previous prime is 1012494199. The next prime is 1012494239. The reversal of 1012494224 is 4224942101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475332 + ... + 2475740.

It is an arithmetic number, because the mean of its divisors is an integer number (20193648).

Almost surely, 21012494224 is an apocalyptic number.

1012494224 is a gapful number since it is divisible by the number (14) 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 1012494224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211618880).

1012494224 is an abundant number, since it is smaller than the sum of its proper divisors (1410743536).

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

1012494224 is a wasteful number, since it uses less digits than its factorization.

1012494224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1012494224 is about 31819.7143921815. The cubic root of 1012494224 is about 1004.1475156654.

The spelling of 1012494224 in words is "one billion, twelve million, four hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 409 434 496 644 713 818 868 961 1288 1426 1636 1736 1922 2576 2852 2863 3272 3472 3844 4991 5704 5726 6544 6727 7688 9407 9982 11408 11452 12679 13454 15376 18814 19964 22103 22904 25358 26908 37628 39928 44206 45808 50716 53816 65849 75256 79856 88412 88753 101432 107632 131698 150512 154721 176824 177506 202864 263396 291617 309442 353648 355012 393049 526792 583234 618884 710024 786098 1053584 1166468 1237768 1420048 1572196 2041319 2332936 2475536 2751343 3144392 4082638 4665872 5502686 6288784 8165276 9040127 11005372 16330552 18080254 22010744 32661104 36160508 44021488 63280889 72321016 126561778 144642032 253123556 506247112 1012494224