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542395413 = 337191311153
BaseRepresentation
bin100000010101000…
…100110000010101
31101210121112122000
4200111010300111
52102323123123
6125453225513
716304166510
oct4025046025
91353545560
10542395413
1125919377a
12131792299
13884aa041
145206dd77
153293eb43
hex20544c15

542395413 has 64 divisors (see below), whose sum is σ = 974899200. Its totient is φ = 291133440.

The previous prime is 542395409. The next prime is 542395417. The reversal of 542395413 is 314593245.

542395413 is a `hidden beast` number, since 5 + 4 + 239 + 5 + 413 = 666.

It is an interprime number because it is at equal distance from previous prime (542395409) and next prime (542395417).

It is not a de Polignac number, because 542395413 - 22 = 542395409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542395417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469845 + ... + 470997.

It is an arithmetic number, because the mean of its divisors is an integer number (15232800).

Almost surely, 2542395413 is an apocalyptic number.

It is an amenable number.

542395413 is a deficient number, since it is larger than the sum of its proper divisors (432503787).

542395413 is a wasteful number, since it uses less digits than its factorization.

542395413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 542395413 is about 23289.3841266788. The cubic root of 542395413 is about 815.5276109904.

The spelling of 542395413 in words is "five hundred forty-two million, three hundred ninety-five thousand, four hundred thirteen".

Divisors: 1 3 7 9 19 21 27 57 63 131 133 171 189 393 399 513 917 1153 1179 1197 2489 2751 3459 3537 3591 7467 8071 8253 10377 17423 21907 22401 24213 24759 31131 52269 65721 67203 72639 151043 153349 156807 197163 217917 453129 460047 470421 591489 1057301 1359387 1380141 2869817 3171903 4078161 4140423 8609451 9515709 20088719 25828353 28547127 60266157 77485059 180798471 542395413