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42156444 = 22311595413
BaseRepresentation
bin1010000011010…
…0000110011100
32221022202202210
42200310012130
541243001234
64103320420
71021216041
oct240640634
987282683
1042156444
1121883840
1212150110
138970255
1458551c8
153a7abe9
hex283419c

42156444 has 48 divisors (see below), whose sum is σ = 109146240. Its totient is φ = 12555840.

The previous prime is 42156419. The next prime is 42156451. The reversal of 42156444 is 44465124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5082 + ... + 10494.

It is an arithmetic number, because the mean of its divisors is an integer number (2273880).

Almost surely, 242156444 is an apocalyptic number.

42156444 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 42156444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54573120).

42156444 is an abundant number, since it is smaller than the sum of its proper divisors (66989796).

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

42156444 is a wasteful number, since it uses less digits than its factorization.

42156444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5488 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42156444 is about 6492.7993962543. The cubic root of 42156444 is about 348.0337198136.

It can be divided in two parts, 421 and 56444, that added together give a palindrome (56865).

The spelling of 42156444 in words is "forty-two million, one hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 5413 7788 10826 16239 21652 32478 59543 64956 119086 178629 238172 319367 357258 638734 714516 958101 1277468 1916202 3513037 3832404 7026074 10539111 14052148 21078222 42156444