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1049831664 = 243721992243
BaseRepresentation
bin111110100100110…
…010100011110000
32201011102222022020
4332210302203300
54122224103124
6252101311440
735005264500
oct7644624360
92634388266
101049831664
1149966a082
12253705580
13139666a8b
149d5dda00
1562276379
hex3e9328f0

1049831664 has 120 divisors (see below), whose sum is σ = 3172118400. Its totient is φ = 298311552.

The previous prime is 1049831611. The next prime is 1049831669. The reversal of 1049831664 is 4661389401.

1049831664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10498316642 = 2204293045474017792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049831669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466927 + ... + 469169.

It is an arithmetic number, because the mean of its divisors is an integer number (26434320).

Almost surely, 21049831664 is an apocalyptic number.

1049831664 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 1049831664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586059200).

1049831664 is an abundant number, since it is smaller than the sum of its proper divisors (2122286736).

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

1049831664 is a wasteful number, since it uses less digits than its factorization.

1049831664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1049831664 is about 32401.1059070520. The cubic root of 1049831664 is about 1016.3420376906.

The spelling of 1049831664 in words is "one billion, forty-nine million, eight hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 199 294 336 392 398 588 597 784 796 1176 1194 1393 1592 2243 2352 2388 2786 3184 4179 4486 4776 5572 6729 8358 8972 9552 9751 11144 13458 15701 16716 17944 19502 22288 26916 29253 31402 33432 35888 39004 47103 53832 58506 62804 66864 78008 94206 107664 109907 117012 125608 156016 188412 219814 234024 251216 329721 376824 439628 446357 468048 659442 753648 879256 892714 1318884 1339071 1758512 1785428 2637768 2678142 3124499 3570856 5275536 5356284 6248998 7141712 9373497 10712568 12497996 18746994 21425136 21871493 24995992 37493988 43742986 49991984 65614479 74987976 87485972 131228958 149975952 174971944 262457916 349943888 524915832 1049831664