Search a number
-
+
2675825388 = 2233311316101
BaseRepresentation
bin1001111101111101…
…1101101011101100
320220111001000101000
42133133131223230
520440002403023
61121304120300
7123211066125
oct23737355354
96814030330
102675825388
111153485245
12628166090
133384a1142
141b553d04c
15109dac243
hex9f7ddaec

2675825388 has 96 divisors (see below), whose sum is σ = 7216957440. Its totient is φ = 856440000.

The previous prime is 2675825333. The next prime is 2675825393. The reversal of 2675825388 is 8835285762.

2675825388 is a `hidden beast` number, since 2 + 6 + 7 + 582 + 53 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 435538 + ... + 441638.

It is an arithmetic number, because the mean of its divisors is an integer number (75176640).

Almost surely, 22675825388 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 2675825388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608478720).

2675825388 is an abundant number, since it is smaller than the sum of its proper divisors (4541132052).

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

2675825388 is a wasteful number, since it uses less digits than its factorization.

2675825388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6268 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2675825388 is about 51728.3808754923. The cubic root of 2675825388 is about 1388.3083103147.

The spelling of 2675825388 in words is "two billion, six hundred seventy-five million, eight hundred twenty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 131 186 262 279 372 393 524 558 786 837 1116 1179 1572 1674 2358 3348 3537 4061 4716 6101 7074 8122 12183 12202 14148 16244 18303 24366 24404 36549 36606 48732 54909 73098 73212 109647 109818 146196 164727 189131 219294 219636 329454 378262 438588 567393 658908 756524 799231 1134786 1598462 1702179 2269572 2397693 3196924 3404358 4795386 5106537 6808716 7193079 9590772 10213074 14386158 20426148 21579237 24776161 28772316 43158474 49552322 74328483 86316948 99104644 148656966 222985449 297313932 445970898 668956347 891941796 1337912694 2675825388