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542665940 = 22553737013
BaseRepresentation
bin100000010110000…
…110110011010100
31101211010021201112
4200112012303110
52102410302230
6125503114152
716306404305
oct4026066324
91354107645
10542665940
11259358a53
121318a2958
138857320b
14521007ac
1532994d95
hex20586cd4

542665940 has 48 divisors (see below), whose sum is σ = 1177173648. Its totient is φ = 210023424.

The previous prime is 542665927. The next prime is 542665967. The reversal of 542665940 is 49566245.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37405456 + 505260484 = 6116^2 + 22478^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73874 + ... + 80886.

It is an arithmetic number, because the mean of its divisors is an integer number (24524451).

Almost surely, 2542665940 is an apocalyptic number.

It is an amenable number.

542665940 is an abundant number, since it is smaller than the sum of its proper divisors (634507708).

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

542665940 is a wasteful number, since it uses less digits than its factorization.

542665940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 542665940 is about 23295.1913492892. The cubic root of 542665940 is about 815.6631735729.

It can be divided in two parts, 54266 and 5940, that added together give a palindrome (60206).

The spelling of 542665940 in words is "five hundred forty-two million, six hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 53 73 106 146 212 265 292 365 530 730 1060 1460 3869 7013 7738 14026 15476 19345 28052 35065 38690 70130 77380 140260 371689 511949 743378 1023898 1486756 1858445 2047796 2559745 3716890 5119490 7433780 10238980 27133297 54266594 108533188 135666485 271332970 542665940