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542623537 = 37103314197
BaseRepresentation
bin100000010101111…
…100011100110001
31101211001010120001
4200111330130301
52102402423122
6125502150001
716306136551
oct4025743461
91354033501
10542623537
1125932a105
12131882301
1388559b21
14520cd161
1532987527
hex2057c731

542623537 has 8 divisors (see below), whose sum is σ = 557867816. Its totient is φ = 527409792.

The previous prime is 542623517. The next prime is 542623547. The reversal of 542623537 is 735326245.

It can be written as a sum of positive squares in 4 ways, for example, as 492440481 + 50183056 = 22191^2 + 7084^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(542623537) divides (542623537-1)2.

It is a cyclic number.

It is not a de Polignac number, because 542623537 - 223 = 534234929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R542623536.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 542623496 and 542623505.

It is not an unprimeable number, because it can be changed into a prime (542623517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31123 + ... + 45319.

It is an arithmetic number, because the mean of its divisors is an integer number (69733477).

Almost surely, 2542623537 is an apocalyptic number.

It is an amenable number.

542623537 is a deficient number, since it is larger than the sum of its proper divisors (15244279).

542623537 is a wasteful number, since it uses less digits than its factorization.

542623537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267.

The product of its digits is 151200, while the sum is 37.

The square root of 542623537 is about 23294.2812080562. The cubic root of 542623537 is about 815.6419281719.

The spelling of 542623537 in words is "five hundred forty-two million, six hundred twenty-three thousand, five hundred thirty-seven".

Divisors: 1 37 1033 14197 38221 525289 14665501 542623537