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2535401088 = 27341124347
BaseRepresentation
bin1001011100011111…
…0010011010000000
320112200210201110000
42113013302122000
520143030313323
61055330240000
7116554360623
oct22707623200
96480721400
102535401088
111091193400
125a9126000
1331537593c
141a0a27dba
15ec8bee43
hex971f2680

2535401088 has 480 divisors, whose sum is σ = 8667046080. Its totient is φ = 734469120.

The previous prime is 2535401087. The next prime is 2535401093. The reversal of 2535401088 is 8801045352.

It is a happy number.

2535401088 is a `hidden beast` number, since 2 + 5 + 3 + 540 + 108 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2535401087) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53944681 + ... + 53944727.

It is an arithmetic number, because the mean of its divisors is an integer number (18056346).

Almost surely, 22535401088 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 2535401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333523040).

2535401088 is an abundant number, since it is smaller than the sum of its proper divisors (6131644992).

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

2535401088 is a wasteful number, since it uses less digits than its factorization.

2535401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

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

The square root of 2535401088 is about 50352.7664383994. The cubic root of 2535401088 is about 1363.5850281184.

The spelling of 2535401088 in words is "two billion, five hundred thirty-five million, four hundred one thousand, eighty-eight".