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42655104 = 273261607
BaseRepresentation
bin1010001010110…
…1110110000000
32222021002210200
42202231312000
541404430404
64122125200
71025363622
oct242556600
988232720
1042655104
1122094458
1212350800
138ab620b
145944c12
153b28839
hex28add80

42655104 has 96 divisors (see below), whose sum is σ = 124962240. Its totient is φ = 13962240.

The previous prime is 42655103. The next prime is 42655121. The reversal of 42655104 is 40155624.

42655104 is a `hidden beast` number, since 4 + 2 + 655 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42655103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69969 + ... + 70575.

It is an arithmetic number, because the mean of its divisors is an integer number (1301690).

Almost surely, 242655104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62481120).

42655104 is an abundant number, since it is smaller than the sum of its proper divisors (82307136).

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

42655104 is a wasteful number, since it uses less digits than its factorization.

42655104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42655104 is about 6531.0875051556. The cubic root of 42655104 is about 349.4006176686.

The spelling of 42655104 in words is "forty-two million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 607 732 976 1098 1152 1214 1464 1821 1952 2196 2428 2928 3642 3904 4392 4856 5463 5856 7284 7808 8784 9712 10926 11712 14568 17568 19424 21852 23424 29136 35136 37027 38848 43704 58272 70272 74054 77696 87408 111081 116544 148108 174816 222162 233088 296216 333243 349632 444324 592432 666486 699264 888648 1184864 1332972 1777296 2369728 2665944 3554592 4739456 5331888 7109184 10663776 14218368 21327552 42655104