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42466710 = 235111319521
BaseRepresentation
bin1010000111111…
…1110110010110
32221220112101010
42201333312112
541332413320
64114113050
71023650436
oct241776626
987815333
1042466710
1121a75960
121227b786
138a4b540
1458d62c6
153adcae0
hex287fd96

42466710 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 8985600.

The previous prime is 42466681. The next prime is 42466747. The reversal of 42466710 is 1766424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 81250 + ... + 81770.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 242466710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42466710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

42466710 is an abundant number, since it is smaller than the sum of its proper divisors (83815530).

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

42466710 is a wasteful number, since it uses less digits than its factorization.

42466710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42466710 is about 6516.6486785770. The cubic root of 42466710 is about 348.8854614380.

The spelling of 42466710 in words is "forty-two million, four hundred sixty-six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 19 22 26 30 33 38 39 55 57 65 66 78 95 110 114 130 143 165 190 195 209 247 285 286 330 390 418 429 494 521 570 627 715 741 858 1042 1045 1235 1254 1430 1482 1563 2090 2145 2470 2605 2717 3126 3135 3705 4290 5210 5434 5731 6270 6773 7410 7815 8151 9899 11462 13546 13585 15630 16302 17193 19798 20319 27170 28655 29697 33865 34386 40638 40755 49495 57310 59394 67730 74503 81510 85965 98990 101595 108889 128687 148485 149006 171930 203190 217778 223509 257374 296970 326667 372515 386061 447018 544445 643435 653334 745030 772122 1088890 1117545 1286870 1415557 1633335 1930305 2235090 2831114 3266670 3860610 4246671 7077785 8493342 14155570 21233355 42466710