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42029676 = 223213312897
BaseRepresentation
bin1010000001010…
…1001001101100
32221002022212200
42200111021230
541224422201
64100501500
71020150333
oct240251154
987068780
1042029676
11217a7577
12120aa890
138927640
145820d1a
153a53386
hex281526c

42029676 has 72 divisors (see below), whose sum is σ = 118145664. Its totient is φ = 12510720.

The previous prime is 42029641. The next prime is 42029711. The reversal of 42029676 is 67692024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42029641) and next prime (42029711).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42029676.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13060 + ... + 15956.

It is an arithmetic number, because the mean of its divisors is an integer number (1640912).

Almost surely, 242029676 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 42029676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59072832).

42029676 is an abundant number, since it is smaller than the sum of its proper divisors (76115988).

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

42029676 is a wasteful number, since it uses less digits than its factorization.

42029676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42029676 is about 6483.0298472242. The cubic root of 42029676 is about 347.6845139179.

The spelling of 42029676 in words is "forty-two million, twenty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 2897 3627 4836 5794 7254 8691 11588 14508 17382 26073 34764 37661 52146 75322 89807 104292 112983 150644 179614 225966 269421 338949 359228 451932 538842 677898 808263 1077684 1167491 1355796 1616526 2334982 3233052 3502473 4669964 7004946 10507419 14009892 21014838 42029676