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42719296 = 26192432
BaseRepresentation
bin1010001011110…
…1100001000000
32222101100212011
42202331201000
541414004141
64123342304
71026052024
oct242754100
988340764
1042719296
1122128704
1212381994
138b094b9
145960384
153b3c881
hex28bd840

42719296 has 63 divisors (see below), whose sum is σ = 91596591. Its totient is φ = 19764864.

The previous prime is 42719279. The next prime is 42719297. The reversal of 42719296 is 69291724.

The square root of 42719296 is 6536.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42719297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 993451 + ... + 993493.

Almost surely, 242719296 is an apocalyptic number.

42719296 is the 6536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42719296

42719296 is an abundant number, since it is smaller than the sum of its proper divisors (48877295).

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

42719296 is an equidigital number, since it uses as much as digits as its factorization.

42719296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 64 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The cubic root of 42719296 is about 349.5758017278.

The spelling of 42719296 in words is "forty-two million, seven hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 152 172 304 344 361 608 688 722 817 1216 1376 1444 1634 1849 2752 2888 3268 3698 5776 6536 7396 11552 13072 14792 15523 23104 26144 29584 31046 35131 52288 59168 62092 70262 118336 124184 140524 248368 281048 496736 562096 667489 993472 1124192 1334978 2248384 2669956 5339912 10679824 21359648 42719296