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42317640 = 2334537353
BaseRepresentation
bin1010000101101…
…1011101001000
32221121221220000
42201123131020
541313131030
64111003000
71022460021
oct241333510
987557800
1042317640
1121983962
1212209460
1389c8731
145897c48
153aad860
hex285b748

42317640 has 160 divisors (see below), whose sum is σ = 146492280. Its totient is φ = 10948608.

The previous prime is 42317593. The next prime is 42317651. The reversal of 42317640 is 4671324.

42317640 is a `hidden beast` number, since 4 + 2 + 3 + 17 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39012516 + 3305124 = 6246^2 + 1818^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119704 + ... + 120056.

Almost surely, 242317640 is an apocalyptic number.

42317640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73246140).

42317640 is an abundant number, since it is smaller than the sum of its proper divisors (104174640).

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

42317640 is a wasteful number, since it uses less digits than its factorization.

42317640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42317640 is about 6505.2009961261. The cubic root of 42317640 is about 348.4767544037.

Adding to 42317640 its reverse (4671324), we get a palindrome (46988964).

The spelling of 42317640 in words is "forty-two million, three hundred seventeen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 353 360 370 405 444 540 555 648 666 706 740 810 888 999 1059 1080 1110 1332 1412 1480 1620 1665 1765 1998 2118 2220 2664 2824 2997 3177 3240 3330 3530 3996 4236 4440 4995 5295 5994 6354 6660 7060 7992 8472 9531 9990 10590 11988 12708 13061 13320 14120 14985 15885 19062 19980 21180 23976 25416 26122 28593 29970 31770 38124 39183 39960 42360 47655 52244 57186 59940 63540 65305 76248 78366 95310 104488 114372 117549 119880 127080 130610 142965 156732 190620 195915 228744 235098 261220 285930 313464 352647 381240 391830 470196 522440 571860 587745 705294 783660 940392 1057941 1143720 1175490 1410588 1567320 1763235 2115882 2350980 2821176 3526470 4231764 4701960 5289705 7052940 8463528 10579410 14105880 21158820 42317640