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54071296 = 21243307
BaseRepresentation
bin1100111001000…
…1000000000000
310202202002212121
43032101000000
5102320240141
65210534024
71224412156
oct316210000
9122662777
1054071296
1128581624
1216137314
13b282566
1472773d6
154b311d1
hex3391000

54071296 has 52 divisors (see below), whose sum is σ = 111004432. Its totient is φ = 26320896.

The previous prime is 54071293. The next prime is 54071309. The reversal of 54071296 is 69217045.

It is a super-2 number, since 2×540712962 = 5847410102239232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54071293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175975 + ... + 176281.

Almost surely, 254071296 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 54071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55502216).

54071296 is an abundant number, since it is smaller than the sum of its proper divisors (56933136).

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

54071296 is an equidigital number, since it uses as much as digits as its factorization.

54071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 54071296 is about 7353.3187065433. The cubic root of 54071296 is about 378.1425887226.

The spelling of 54071296 in words is "fifty-four million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 307 344 512 614 688 1024 1228 1376 2048 2456 2752 4096 4912 5504 9824 11008 13201 19648 22016 26402 39296 44032 52804 78592 88064 105608 157184 176128 211216 314368 422432 628736 844864 1257472 1689728 3379456 6758912 13517824 27035648 54071296