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42692580 = 223257311093
BaseRepresentation
bin1010001011011…
…0111111100100
32222100000012200
42202312333210
541412130310
64123014500
71025611110
oct242667744
988300180
1042692580
112210a627
121236a430
138aca2a8
145954740
153b349c0
hex28b6fe4

42692580 has 144 divisors (see below), whose sum is σ = 152914944. Its totient is φ = 9434880.

The previous prime is 42692579. The next prime is 42692621. The reversal of 42692580 is 8529624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38514 + ... + 39606.

Almost surely, 242692580 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 42692580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76457472).

42692580 is an abundant number, since it is smaller than the sum of its proper divisors (110222364).

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

42692580 is a wasteful number, since it uses less digits than its factorization.

42692580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42692580 is about 6533.9559227163. The cubic root of 42692580 is about 349.5029133959.

The spelling of 42692580 in words is "forty-two million, six hundred ninety-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1093 1116 1260 1302 1395 1860 1953 2170 2186 2604 2790 3255 3279 3906 4340 4372 5465 5580 6510 6558 7651 7812 9765 9837 10930 13020 13116 15302 16395 19530 19674 21860 22953 30604 32790 33883 38255 39060 39348 45906 49185 65580 67766 68859 76510 91812 98370 101649 114765 135532 137718 153020 169415 196740 203298 229530 237181 275436 304947 338830 344295 406596 459060 474362 508245 609894 677660 688590 711543 948724 1016490 1185905 1219788 1377180 1423086 1524735 2032980 2134629 2371810 2846172 3049470 3557715 4269258 4743620 6098940 7115430 8538516 10673145 14230860 21346290 42692580