Search a number
-
+
2542091508 = 2232116419423
BaseRepresentation
bin1001011110000101…
…0011110011110100
320120011101121222100
42113201103303310
520201233412013
61100125502100
7116665264335
oct22741236364
96504347870
102542091508
111094a42a80
125ab411930
13316878c78
141a188a28c
15ed292473
hex97853cf4

2542091508 has 36 divisors (see below), whose sum is σ = 7010011008. Its totient is φ = 770330640.

The previous prime is 2542091479. The next prime is 2542091527. The reversal of 2542091508 is 8051902452.

2542091508 is a `hidden beast` number, since 25 + 42 + 0 + 91 + 508 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3209316 + ... + 3210107.

It is an arithmetic number, because the mean of its divisors is an integer number (194722528).

Almost surely, 22542091508 is an apocalyptic number.

It is an amenable number.

2542091508 is an abundant number, since it is smaller than the sum of its proper divisors (4467919500).

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

2542091508 is a wasteful number, since it uses less digits than its factorization.

2542091508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419444 (or 6419439 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2542091508 is about 50419.1581444990. The cubic root of 2542091508 is about 1364.7833846984.

The spelling of 2542091508 in words is "two billion, five hundred forty-two million, ninety-one thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 6419423 12838846 19258269 25677692 38516538 57774807 70613653 77033076 115549614 141227306 211840959 231099228 282454612 423681918 635522877 847363836 1271045754 2542091508