Search a number
-
+
42233520 = 24357231093
BaseRepresentation
bin1010000100011…
…0111010110000
32221110200111110
42201012322300
541302433040
64105113320
71021656540
oct241067260
987420443
1042233520
112192673a
1212188840
138999364
145875320
153a93980
hex2846eb0

42233520 has 160 divisors (see below), whose sum is σ = 156275712. Its totient is φ = 9225216.

The previous prime is 42233459. The next prime is 42233573. The reversal of 42233520 is 2533224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38094 + ... + 39186.

Almost surely, 242233520 is an apocalyptic number.

42233520 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 42233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78137856).

42233520 is an abundant number, since it is smaller than the sum of its proper divisors (114042192).

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

42233520 is a wasteful number, since it uses less digits than its factorization.

42233520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42233520 is about 6498.7321840494. The cubic root of 42233520 is about 348.2456978068.

Adding to 42233520 its reverse (2533224), we get a palindrome (44766744).

The spelling of 42233520 in words is "forty-two million, two hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1093 1104 1288 1380 1610 1680 1840 1932 2186 2415 2576 2760 3220 3279 3864 4372 4830 5465 5520 6440 6558 7651 7728 8744 9660 10930 12880 13116 15302 16395 17488 19320 21860 22953 25139 26232 30604 32790 38255 38640 43720 45906 50278 52464 61208 65580 75417 76510 87440 91812 100556 114765 122416 125695 131160 150834 153020 175973 183624 201112 229530 251390 262320 301668 306040 351946 367248 377085 402224 459060 502780 527919 603336 612080 703892 754170 879865 918120 1005560 1055838 1206672 1407784 1508340 1759730 1836240 2011120 2111676 2639595 2815568 3016680 3519460 4223352 5279190 6033360 7038920 8446704 10558380 14077840 21116760 42233520