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42015232 = 29719617
BaseRepresentation
bin1010000001000…
…1101000000000
32221001121001201
42200101220000
541223441412
64100310544
71020060250
oct240215000
987047051
1042015232
1121797736
12120a2454
138920bac
145819960
153a4de57
hex2811a00

42015232 has 80 divisors (see below), whose sum is σ = 101154240. Its totient is φ = 17031168.

The previous prime is 42015179. The next prime is 42015247. The reversal of 42015232 is 23251024.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 67788 + ... + 68404.

It is an arithmetic number, because the mean of its divisors is an integer number (1264428).

Almost surely, 242015232 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 42015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577120).

42015232 is an abundant number, since it is smaller than the sum of its proper divisors (59139008).

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

42015232 is an equidigital number, since it uses as much as digits as its factorization.

42015232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42015232 is about 6481.9157661914. The cubic root of 42015232 is about 347.6446807096.

Adding to 42015232 its reverse (23251024), we get a palindrome (65266256).

The spelling of 42015232 in words is "forty-two million, fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 617 896 1064 1216 1234 1792 2128 2432 2468 3584 4256 4319 4864 4936 8512 8638 9728 9872 11723 17024 17276 19744 23446 34048 34552 39488 46892 68096 69104 78976 82061 93784 138208 157952 164122 187568 276416 315904 328244 375136 552832 656488 750272 1105664 1312976 1500544 2211328 2625952 3001088 5251904 6002176 10503808 21007616 42015232