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57342978 = 2347114597
BaseRepresentation
bin1101101010111…
…1110000000010
310222220022210000
43122233300002
5104134433403
65405020430
71264256460
oct332576002
9128808700
1057342978
112a4066a0
1217254716
13bb59774
147889830
15507a7a3
hex36afc02

57342978 has 80 divisors (see below), whose sum is σ = 160231104. Its totient is φ = 14891040.

The previous prime is 57342977. The next prime is 57342983. The reversal of 57342978 is 87924375.

57342978 is a `hidden beast` number, since 573 + 4 + 2 + 9 + 78 = 666.

57342978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57342973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10176 + ... + 14772.

Almost surely, 257342978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57342978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80115552).

57342978 is an abundant number, since it is smaller than the sum of its proper divisors (102888126).

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

57342978 is a wasteful number, since it uses less digits than its factorization.

57342978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4620 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 57342978 is about 7572.5146417818. The cubic root of 57342978 is about 385.6204713640.

The spelling of 57342978 in words is "fifty-seven million, three hundred forty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 4597 6237 9194 12474 13791 27582 32179 41373 50567 64358 82746 96537 101134 124119 151701 193074 248238 289611 303402 353969 372357 455103 579222 707938 744714 868833 910206 1061907 1365309 1737666 2123814 2606499 2730618 3185721 4095927 5212998 6371442 8191854 9557163 19114326 28671489 57342978