Search a number
-
+
42286440 = 2335750341
BaseRepresentation
bin1010000101001…
…1110101101000
32221120101002110
42201103311220
541311131230
64110202320
71022300040
oct241236550
987511073
1042286440
1121962479
12121b33a0
1389b7481
14588a720
153aa44b0
hex2853d68

42286440 has 64 divisors (see below), whose sum is σ = 144984960. Its totient is φ = 9665280.

The previous prime is 42286427. The next prime is 42286459. The reversal of 42286440 is 4468224.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42286398 and 42286407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24331 + ... + 26010.

It is an arithmetic number, because the mean of its divisors is an integer number (2265390).

Almost surely, 242286440 is an apocalyptic number.

42286440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42286440 is an abundant number, since it is smaller than the sum of its proper divisors (102698520).

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

42286440 is a wasteful number, since it uses less digits than its factorization.

42286440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50362 (or 50358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 42286440 is about 6502.8024727805. The cubic root of 42286440 is about 348.3910915622.

The spelling of 42286440 in words is "forty-two million, two hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 50341 100682 151023 201364 251705 302046 352387 402728 503410 604092 704774 755115 1006820 1057161 1208184 1409548 1510230 1761935 2013640 2114322 2819096 3020460 3523870 4228644 5285805 6040920 7047740 8457288 10571610 14095480 21143220 42286440