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821241372 = 2237217292833
BaseRepresentation
bin110000111100110…
…010011000011100
32010020022101101010
4300330302120130
53140214210442
6213254015220
726231302500
oct6074623034
92106271333
10821241372
11391629886
121ab047510
131011ac353
147b0d8300
154c170b9c
hex30f3261c

821241372 has 144 divisors (see below), whose sum is σ = 2442454560. Its totient is φ = 213147648.

The previous prime is 821241361. The next prime is 821241373. The reversal of 821241372 is 273142128.

It is a super-3 number, since 3×8212413723 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821241373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288468 + ... + 291300.

It is an arithmetic number, because the mean of its divisors is an integer number (16961490).

Almost surely, 2821241372 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 821241372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221227280).

821241372 is an abundant number, since it is smaller than the sum of its proper divisors (1621213188).

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

821241372 is a wasteful number, since it uses less digits than its factorization.

821241372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2891 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 821241372 is about 28657.3092246987. The cubic root of 821241372 is about 936.4622461130.

The spelling of 821241372 in words is "eight hundred twenty-one million, two hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 49 51 58 68 84 87 98 102 116 119 147 174 196 203 204 238 294 348 357 406 476 493 588 609 714 812 833 986 1218 1421 1428 1479 1666 1972 2436 2499 2833 2842 2958 3332 3451 4263 4998 5666 5684 5916 6902 8499 8526 9996 10353 11332 13804 16998 17052 19831 20706 24157 33996 39662 41412 48161 48314 59493 72471 79324 82157 96322 96628 118986 138817 144483 144942 164314 192644 237972 246471 277634 288966 289884 328628 337127 416451 492942 555268 575099 577932 674254 832902 985884 1011381 1150198 1348508 1396669 1665804 1725297 2022762 2300396 2359889 2793338 3450594 4025693 4045524 4190007 4719778 5586676 6901188 7079667 8051386 8380014 9439556 9776683 12077079 14159334 16102772 16760028 19553366 24154158 28318668 29330049 39106732 48308316 58660098 68436781 117320196 136873562 205310343 273747124 410620686 821241372