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54196512 = 2531943691
BaseRepresentation
bin1100111010111…
…1100100100000
310202222110122020
43032233210200
5102333242022
65213341440
71225443216
oct316574440
9122873566
1054196512
1128657707
1216197880
13b2c7556
1472aacb6
154b5835c
hex33af920

54196512 has 96 divisors (see below), whose sum is σ = 153457920. Its totient is φ = 16692480.

The previous prime is 54196507. The next prime is 54196529. The reversal of 54196512 is 21569145.

54196512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×541965122 = 5874523825932288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78087 + ... + 78777.

It is an arithmetic number, because the mean of its divisors is an integer number (1598520).

Almost surely, 254196512 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 54196512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76728960).

54196512 is an abundant number, since it is smaller than the sum of its proper divisors (99261408).

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

54196512 is a wasteful number, since it uses less digits than its factorization.

54196512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 54196512 is about 7361.8280338514. The cubic root of 54196512 is about 378.4342591828.

The spelling of 54196512 in words is "fifty-four million, one hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 228 258 304 344 456 516 608 688 691 817 912 1032 1376 1382 1634 1824 2064 2073 2451 2764 3268 4128 4146 4902 5528 6536 8292 9804 11056 13072 13129 16584 19608 22112 26144 26258 29713 33168 39216 39387 52516 59426 66336 78432 78774 89139 105032 118852 157548 178278 210064 237704 315096 356556 420128 475408 564547 630192 713112 950816 1129094 1260384 1426224 1693641 2258188 2852448 3387282 4516376 6774564 9032752 13549128 18065504 27098256 54196512