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2541155796 = 2232197358313
BaseRepresentation
bin1001011101110110…
…1111010111010100
320120002122002102100
42113131233113110
520201013441141
61100053442100
7116654316324
oct22735572724
96502562370
102541155796
111094463a63
125ab040330
1331660c0aa
141a16c5284
15ed15a0b6
hex9776f5d4

2541155796 has 36 divisors (see below), whose sum is σ = 6456101652. Its totient is φ = 842749824.

The previous prime is 2541155753. The next prime is 2541155797. The reversal of 2541155796 is 6975511452.

It is a happy number.

2541155796 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 1 + 557 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1242562500 + 1298593296 = 35250^2 + 36036^2 .

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

It is a super-3 number, since 3×25411557963 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541155797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172065 + ... + 186248.

It is an arithmetic number, because the mean of its divisors is an integer number (179336157).

Almost surely, 22541155796 is an apocalyptic number.

It is an amenable number.

2541155796 is an abundant number, since it is smaller than the sum of its proper divisors (3914945856).

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

2541155796 is a wasteful number, since it uses less digits than its factorization.

2541155796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358520 (or 358515 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 2541155796 is about 50409.8779605744. The cubic root of 2541155796 is about 1364.6159109330.

The spelling of 2541155796 in words is "two billion, five hundred forty-one million, one hundred fifty-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 358313 716626 1074939 1433252 2149878 3224817 4299756 6449634 12899268 70587661 141175322 211762983 282350644 423525966 635288949 847051932 1270577898 2541155796