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542400761 = 7211336671
BaseRepresentation
bin100000010101000…
…110000011111001
31101210121210222002
4200111012003321
52102323311021
6125453310345
716304221220
oct4025060371
91353553862
10542400761
112591977a1
121317953b5
13884ac5c6
1452071cb7
153294150b
hex205460f9

542400761 has 8 divisors (see below), whose sum is σ = 620196864. Its totient is φ = 464682240.

The previous prime is 542400757. The next prime is 542400773. The reversal of 542400761 is 167004245.

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

It is a cyclic number.

It is not a de Polignac number, because 542400761 - 22 = 542400757 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542400751) 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, 3545 + ... + 33126.

It is an arithmetic number, because the mean of its divisors is an integer number (77524608).

Almost surely, 2542400761 is an apocalyptic number.

It is an amenable number.

542400761 is a deficient number, since it is larger than the sum of its proper divisors (77796103).

542400761 is a wasteful number, since it uses less digits than its factorization.

542400761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38791.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 542400761 is about 23289.4989426565. The cubic root of 542400761 is about 815.5302913396.

The spelling of 542400761 in words is "five hundred forty-two million, four hundred thousand, seven hundred sixty-one".

Divisors: 1 7 2113 14791 36671 256697 77485823 542400761