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42229376 = 27726733
BaseRepresentation
bin1010000100010…
…1111010000000
32221110110210222
42201011322000
541302320001
64105042212
71021641500
oct241057200
987413728
1042229376
1121923612
1212186368
1389974c7
145873a00
153a9261b
hex2845e80

42229376 has 48 divisors (see below), whose sum is σ = 97878690. Its totient is φ = 18095616.

The previous prime is 42229373. The next prime is 42229391. The reversal of 42229376 is 67392224.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22657600 + 19571776 = 4760^2 + 4424^2 .

It is not an unprimeable number, because it can be changed into a prime (42229373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2906 + ... + 9638.

Almost surely, 242229376 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 42229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48939345).

42229376 is an abundant number, since it is smaller than the sum of its proper divisors (55649314).

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

42229376 is an equidigital number, since it uses as much as digits as its factorization.

42229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6742 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 42229376 is about 6498.4133448096. The cubic root of 42229376 is about 348.2343073491.

The spelling of 42229376 in words is "forty-two million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 6733 13466 26932 47131 53864 94262 107728 188524 215456 329917 377048 430912 659834 754096 861824 1319668 1508192 2639336 3016384 5278672 6032768 10557344 21114688 42229376