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42376257 = 33711217109
BaseRepresentation
bin1010000110100…
…1110001000001
32221201221022000
42201221301001
541322020012
64112134213
71023122640
oct241516101
987657260
1042376257
1121a13a00
1212237369
138a19311
1458b1357
153ac0ddc
hex2869c41

42376257 has 96 divisors (see below), whose sum is σ = 84268800. Its totient is φ = 20528640.

The previous prime is 42376249. The next prime is 42376259. The reversal of 42376257 is 75267324.

It is a happy number.

42376257 is a `hidden beast` number, since 4 + 23 + 7 + 625 + 7 = 666.

It is not a de Polignac number, because 42376257 - 23 = 42376249 is a prime.

Its product of digits (70560) is a multiple of the sum of its prime divisors (147).

It is not an unprimeable number, because it can be changed into a prime (42376259) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 388719 + ... + 388827.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 242376257 is an apocalyptic number.

It is an amenable number.

42376257 is a deficient number, since it is larger than the sum of its proper divisors (41892543).

42376257 is a wasteful number, since it uses less digits than its factorization.

42376257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 42376257 is about 6509.7048320181. The cubic root of 42376257 is about 348.6375796743.

The spelling of 42376257 in words is "forty-two million, three hundred seventy-six thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 99 109 119 121 153 187 189 231 297 327 357 363 459 561 693 763 847 981 1071 1089 1199 1309 1683 1853 2057 2079 2289 2541 2943 3213 3267 3597 3927 5049 5559 6171 6867 7623 8393 10791 11781 12971 13189 14399 16677 18513 20383 20601 22869 25179 32373 35343 38913 39567 43197 50031 55539 61149 75537 92323 116739 118701 129591 142681 183447 224213 226611 276969 350217 356103 388773 428043 550341 672639 830907 1284129 1569491 2017917 2492721 3852387 4708473 6053751 14125419 42376257