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42978705 = 35711127293
BaseRepresentation
bin1010001111110…
…0110110010001
32222212112200220
42203330312101
542000304310
64133103253
71031212230
oct243746621
988775626
1042978705
11222955a0
1212487b29
138b9a5b3
1459cab17
153b8e670
hex28fcd91

42978705 has 64 divisors (see below), whose sum is σ = 86704128. Its totient is φ = 17660160.

The previous prime is 42978659. The next prime is 42978721. The reversal of 42978705 is 50787924.

It is not a de Polignac number, because 42978705 - 27 = 42978577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146539 + ... + 146831.

It is an arithmetic number, because the mean of its divisors is an integer number (1354752).

Almost surely, 242978705 is an apocalyptic number.

It is an amenable number.

42978705 is an abundant number, since it is smaller than the sum of its proper divisors (43725423).

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

42978705 is a wasteful number, since it uses less digits than its factorization.

42978705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 42978705 is about 6555.8145946938. The cubic root of 42978705 is about 350.2819632630.

The spelling of 42978705 in words is "forty-two million, nine hundred seventy-eight thousand, seven hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 127 165 231 293 381 385 635 879 889 1155 1397 1465 1905 2051 2667 3223 4191 4395 4445 6153 6985 9669 9779 10255 13335 16115 20955 22561 29337 30765 37211 48345 48895 67683 111633 112805 146685 186055 260477 338415 409321 558165 781431 1227963 1302385 2046605 2865247 3907155 6139815 8595741 14326235 42978705