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2542267476 = 2232761165383
BaseRepresentation
bin1001011110000111…
…1110110001010100
320120011201120100200
42113201332301110
520201310024401
61100133340500
7116666626350
oct22741766124
96504646320
102542267476
111095053201
125ab497730
1331690b0a8
141a18d4460
15ed2c9686
hex9787ec54

2542267476 has 72 divisors (see below), whose sum is σ = 7464772224. Its totient is φ = 714450240.

The previous prime is 2542267451. The next prime is 2542267477. The reversal of 2542267476 is 6747622452.

It is a happy number.

2542267476 is a `hidden beast` number, since 2 + 542 + 2 + 67 + 47 + 6 = 666.

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 (2542267477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67320 + ... + 98063.

It is an arithmetic number, because the mean of its divisors is an integer number (103677392).

Almost surely, 22542267476 is an apocalyptic number.

It is an amenable number.

2542267476 is an abundant number, since it is smaller than the sum of its proper divisors (4922504748).

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

2542267476 is a wasteful number, since it uses less digits than its factorization.

2542267476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165461 (or 165456 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 2542267476 is about 50420.9031652548. The cubic root of 2542267476 is about 1364.8148748658.

The spelling of 2542267476 in words is "two billion, five hundred forty-two million, two hundred sixty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7686 15372 165383 330766 496149 661532 992298 1157681 1488447 1984596 2315362 2976894 3473043 4630724 5953788 6946086 10088363 10419129 13892172 20176726 20838258 30265089 40353452 41676516 60530178 70618541 90795267 121060356 141237082 181590534 211855623 282474164 363181068 423711246 635566869 847422492 1271133738 2542267476