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821358054 = 2321138310831
BaseRepresentation
bin110000111101001…
…110110111100110
32010020112022102200
4300331032313212
53140231424204
6213300315330
726232266616
oct6075166746
92106468380
10821358054
113916a9510
121ab0a2b46
131012204aa
147b128a46
154c195539
hex30f4ede6

821358054 has 48 divisors (see below), whose sum is σ = 1946640384. Its totient is φ = 248223600.

The previous prime is 821358053. The next prime is 821358061. The reversal of 821358054 is 450853128.

It is a happy number.

821358054 is a `hidden beast` number, since 8 + 21 + 3 + 580 + 54 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821358053) 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, 70419 + ... + 81249.

It is an arithmetic number, because the mean of its divisors is an integer number (40555008).

Almost surely, 2821358054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821358054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973320192).

821358054 is an abundant number, since it is smaller than the sum of its proper divisors (1125282330).

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

821358054 is a wasteful number, since it uses less digits than its factorization.

821358054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 821358054 is about 28659.3449680903. The cubic root of 821358054 is about 936.5065948745.

The spelling of 821358054 in words is "eight hundred twenty-one million, three hundred fifty-eight thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 383 766 1149 2298 3447 4213 6894 8426 10831 12639 21662 25278 32493 37917 64986 75834 97479 119141 194958 238282 357423 714846 1072269 2144538 4148273 8296546 12444819 24889638 37334457 45631003 74668914 91262006 136893009 273786018 410679027 821358054