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6030826000 = 24536149433
BaseRepresentation
bin1011001110111011…
…10001101000010000
3120120022001200222221
411213131301220100
544322342413000
62434233310424
7302310114043
oct54735615020
916508050887
106030826000
112615275921
121203865414
1375159c9c4
14412d54c5a
152546c661a
hex167771a10

6030826000 has 80 divisors (see below), whose sum is σ = 14821895088. Its totient is φ = 2372736000.

The previous prime is 6030825991. The next prime is 6030826001. The reversal of 6030826000 is 6280306.

It can be written as a sum of positive squares in 8 ways, for example, as 3229876224 + 2800949776 = 56832^2 + 52924^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6030826001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97284 + ... + 146716.

Almost surely, 26030826000 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 6030826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410947544).

6030826000 is an abundant number, since it is smaller than the sum of its proper divisors (8791069088).

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

6030826000 is a wasteful number, since it uses less digits than its factorization.

6030826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49517 (or 49501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6030826000 is about 77658.3929784798. The cubic root of 6030826000 is about 1820.2271986221.

The spelling of 6030826000 in words is "six billion, thirty million, eight hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 49433 61000 98866 122000 197732 247165 395464 494330 790928 988660 1235825 1977320 2471650 3015413 3954640 4943300 6030826 6179125 9886600 12061652 12358250 15077065 19773200 24123304 24716500 30154130 48246608 49433000 60308260 75385325 98866000 120616520 150770650 241233040 301541300 376926625 603082600 753853250 1206165200 1507706500 3015413000 6030826000