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42363864 = 23331783139
BaseRepresentation
bin1010000110011…
…0101111011000
32221201022022000
42201212233120
541321120424
64112001000
71023041544
oct241465730
987638260
1042363864
1121a05664
1212230160
138a1379a
1458aaa24
153abc3c9
hex2866bd8

42363864 has 128 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 13036032.

The previous prime is 42363859. The next prime is 42363869. The reversal of 42363864 is 46836324.

It is a happy number.

42363864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42363859) and next prime (42363869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42363869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304707 + ... + 304845.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 242363864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42363864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

42363864 is an abundant number, since it is smaller than the sum of its proper divisors (84644136).

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

42363864 is a wasteful number, since it uses less digits than its factorization.

42363864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 42363864 is about 6508.7528759356. The cubic root of 42363864 is about 348.6035898327.

It can be divided in two parts, 4236 and 3864, that added together give a square (8100 = 902).

The spelling of 42363864 in words is "forty-two million, three hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 83 102 108 136 139 153 166 204 216 249 278 306 332 408 417 459 498 556 612 664 747 834 918 996 1112 1224 1251 1411 1494 1668 1836 1992 2241 2363 2502 2822 2988 3336 3672 3753 4233 4482 4726 5004 5644 5976 7089 7506 8466 8964 9452 10008 11288 11537 12699 14178 15012 16932 17928 18904 21267 23074 25398 28356 30024 33864 34611 38097 42534 46148 50796 56712 63801 69222 76194 85068 92296 101592 103833 127602 138444 152388 170136 196129 207666 255204 276888 304776 311499 392258 415332 510408 588387 622998 784516 830664 1176774 1245996 1569032 1765161 2353548 2491992 3530322 4707096 5295483 7060644 10590966 14121288 21181932 42363864