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2542024144 = 241121777237
BaseRepresentation
bin1001011110000100…
…0011010111010000
320120011021012120101
42113201003113100
520201224233034
61100124222144
7116664564052
oct22741032720
96504235511
102542024144
1110949a7400
125ab39a954
133168543ca
141a186d8d2
15ed27c514
hex978435d0

2542024144 has 60 divisors (see below), whose sum is σ = 5732140932. Its totient is φ = 1087482880.

The previous prime is 2542024139. The next prime is 2542024171. The reversal of 2542024144 is 4414202452.

It can be written as a sum of positive squares in 2 ways, for example, as 701614144 + 1840410000 = 26488^2 + 42900^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5707 + ... + 71530.

Almost surely, 22542024144 is an apocalyptic number.

It is an amenable number.

2542024144 is an abundant number, since it is smaller than the sum of its proper divisors (3190116788).

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

2542024144 is a wasteful number, since it uses less digits than its factorization.

2542024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77284 (or 77267 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 2542024144 is about 50418.4901003590. The cubic root of 2542024144 is about 1364.7713292603.

Adding to 2542024144 its reverse (4414202452), we get a palindrome (6956226596).

The spelling of 2542024144 in words is "two billion, five hundred forty-two million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 8228 16456 32912 77237 154474 308948 617896 849607 1235792 1313029 1699214 2626058 3398428 5252116 6796856 9345677 10504232 13593712 14443319 18691354 21008464 28886638 37382708 57773276 74765416 115546552 149530832 158876509 231093104 317753018 635506036 1271012072 2542024144