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54523456 = 26132712
BaseRepresentation
bin1100111111111…
…1011001000000
310210121002010021
43033333121000
5102424222311
65224343224
71231304341
oct317773100
9123532107
1054523456
1128860309
1216314b14
13b3b0300
1473540c8
154bc0171
hex33ff640

54523456 has 63 divisors (see below), whose sum is σ = 118831233. Its totient is φ = 24810240.

The previous prime is 54523453. The next prime is 54523457. The reversal of 54523456 is 65432545.

The square root of 54523456 is 7384.

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

It can be written as a sum of positive squares in only one way, i.e., 8065600 + 46457856 = 2840^2 + 6816^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (72000) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (54523453) 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, 767901 + ... + 767971.

Almost surely, 254523456 is an apocalyptic number.

54523456 is the 7384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54523456

54523456 is an abundant number, since it is smaller than the sum of its proper divisors (64307777).

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

54523456 is an equidigital number, since it uses as much as digits as its factorization.

54523456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

The cubic root of 54523456 is about 379.1937105427.

The spelling of 54523456 in words is "fifty-four million, five hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 169 208 284 338 416 568 676 832 923 1136 1352 1846 2272 2704 3692 4544 5041 5408 7384 10082 10816 11999 14768 20164 23998 29536 40328 47996 59072 65533 80656 95992 131066 161312 191984 262132 322624 383968 524264 767936 851929 1048528 1703858 2097056 3407716 4194112 6815432 13630864 27261728 54523456