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42226464 = 2537312027
BaseRepresentation
bin1010000100010…
…1001100100000
32221110022211010
42201011030200
541302221324
64105020520
71021630140
oct241051440
987408733
1042226464
1121921405
1212184740
138996097
145872920
153a91829
hex2845320

42226464 has 96 divisors (see below), whose sum is σ = 130830336. Its totient is φ = 11669760.

The previous prime is 42226463. The next prime is 42226489. The reversal of 42226464 is 46462224.

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

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

It is not an unprimeable number, because it can be changed into a prime (42226463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19819 + ... + 21845.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816).

Almost surely, 242226464 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 42226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65415168).

42226464 is an abundant number, since it is smaller than the sum of its proper divisors (88603872).

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

42226464 is a wasteful number, since it uses less digits than its factorization.

42226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 42226464 is about 6498.1892862551. The cubic root of 42226464 is about 348.2263027978.

Adding to 42226464 its reverse (46462224), we get a palindrome (88688688).

The spelling of 42226464 in words is "forty-two million, two hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2027 2604 2976 3472 4054 5208 6081 6944 8108 10416 12162 14189 16216 20832 24324 28378 32432 42567 48648 56756 62837 64864 85134 97296 113512 125674 170268 188511 194592 227024 251348 340536 377022 439859 454048 502696 681072 754044 879718 1005392 1319577 1362144 1508088 1759436 2010784 2639154 3016176 3518872 5278308 6032352 7037744 10556616 14075488 21113232 42226464