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42303840 = 2535312843
BaseRepresentation
bin1010000101100…
…0000101100000
32221121020221220
42201120011200
541312210330
64110415040
71022401545
oct241300540
987536856
1042303840
1121974557
1212201480
1389c2377
145892bcc
153aa9710
hex2858160

42303840 has 96 divisors (see below), whose sum is σ = 137604096. Its totient is φ = 10913280.

The previous prime is 42303829. The next prime is 42303853. The reversal of 42303840 is 4830324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×423038402 = 3579229757491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42303840.

It is a congruent number.

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, 13459 + ... + 16301.

It is an arithmetic number, because the mean of its divisors is an integer number (1433376).

Almost surely, 242303840 is an apocalyptic number.

42303840 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 42303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68802048).

42303840 is an abundant number, since it is smaller than the sum of its proper divisors (95300256).

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

42303840 is a wasteful number, since it uses less digits than its factorization.

42303840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42303840 is about 6504.1402198907. The cubic root of 42303840 is about 348.4388702648.

The spelling of 42303840 in words is "forty-two million, three hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2843 2976 3720 4960 5686 7440 8529 11372 14215 14880 17058 22744 28430 34116 42645 45488 56860 68232 85290 88133 90976 113720 136464 170580 176266 227440 264399 272928 341160 352532 440665 454880 528798 682320 705064 881330 1057596 1321995 1364640 1410128 1762660 2115192 2643990 2820256 3525320 4230384 5287980 7050640 8460768 10575960 14101280 21151920 42303840