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42418464 = 2531140169
BaseRepresentation
bin1010000111010…
…0000100100000
32221211002012020
42201310010200
541324342324
64113101440
71023356664
oct241640440
987732166
1042418464
1121a42690
1212257880
138a325aa
1458c28a4
153acd679
hex2874120

42418464 has 48 divisors (see below), whose sum is σ = 121474080. Its totient is φ = 12853760.

The previous prime is 42418459. The next prime is 42418471. The reversal of 42418464 is 46481424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19029 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (2530710).

Almost surely, 242418464 is an apocalyptic number.

42418464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42418464 is an abundant number, since it is smaller than the sum of its proper divisors (79055616).

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

42418464 is a wasteful number, since it uses less digits than its factorization.

42418464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40193 (or 40185 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 42418464 is about 6512.9458772509. The cubic root of 42418464 is about 348.7532896235.

Adding to 42418464 its reverse (46481424), we get a palindrome (88899888).

The spelling of 42418464 in words is "forty-two million, four hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 40169 80338 120507 160676 241014 321352 441859 482028 642704 883718 964056 1285408 1325577 1767436 1928112 2651154 3534872 3856224 5302308 7069744 10604616 14139488 21209232 42418464