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1002413244 = 223761832357
BaseRepresentation
bin111011101111111…
…001110010111100
32120212012212110110
4323233321302330
54023104210434
6243245110020
733561241410
oct7357716274
92525185413
101002413244
114749219a8
1223b858310
1312c8a3741
14971b8d40
155d00b4e9
hex3bbf9cbc

1002413244 has 96 divisors (see below), whose sum is σ = 2750823936. Its totient is φ = 278196480.

The previous prime is 1002413233. The next prime is 1002413273. The reversal of 1002413244 is 4423142001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1002413244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424114 + ... + 426470.

It is an arithmetic number, because the mean of its divisors is an integer number (28654416).

Almost surely, 21002413244 is an apocalyptic number.

1002413244 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 1002413244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375411968).

1002413244 is an abundant number, since it is smaller than the sum of its proper divisors (1748410692).

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

1002413244 is a wasteful number, since it uses less digits than its factorization.

1002413244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1002413244 is about 31660.9103469878. The cubic root of 1002413244 is about 1000.8037684499.

Adding to 1002413244 its reverse (4423142001), we get a palindrome (5425555245).

The spelling of 1002413244 in words is "one billion, two million, four hundred thirteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 83 84 122 166 183 244 249 332 366 427 498 581 732 854 996 1162 1281 1708 1743 2324 2357 2562 3486 4714 5063 5124 6972 7071 9428 10126 14142 15189 16499 20252 28284 30378 32998 35441 49497 60756 65996 70882 98994 106323 141764 143777 195631 197988 212646 287554 391262 425292 431331 575108 586893 782524 862662 1006439 1173786 1369417 1725324 2012878 2347572 2738834 3019317 4025756 4108251 5477668 6038634 8216502 11933491 12077268 16433004 23866982 35800473 47733964 71600946 83534437 143201892 167068874 250603311 334137748 501206622 1002413244