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42361264 = 24112331033
BaseRepresentation
bin1010000110011…
…0000110110000
32221201011201201
42201212012300
541321030024
64111540544
71023031141
oct241460660
987634651
1042361264
1121a03710
121222a754
138a1254a
1458a9ac8
153abb744
hex28661b0

42361264 has 40 divisors (see below), whose sum is σ = 90007632. Its totient is φ = 19153920.

The previous prime is 42361261. The next prime is 42361273. The reversal of 42361264 is 46216324.

It is not an unprimeable number, because it can be changed into a prime (42361261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40492 + ... + 41524.

Almost surely, 242361264 is an apocalyptic number.

42361264 is a gapful number since it is divisible by the number (44) 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 42361264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45003816).

42361264 is an abundant number, since it is smaller than the sum of its proper divisors (47646368).

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

42361264 is a wasteful number, since it uses less digits than its factorization.

42361264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 42361264 is about 6508.5531418281. The cubic root of 42361264 is about 348.5964580637.

Adding to 42361264 its reverse (46216324), we get a palindrome (88577588).

The spelling of 42361264 in words is "forty-two million, three hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 233 466 932 1033 1864 2066 2563 3728 4132 5126 8264 10252 11363 16528 20504 22726 41008 45452 90904 181808 240689 481378 962756 1925512 2647579 3851024 5295158 10590316 21180632 42361264