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54693666 = 232193443
BaseRepresentation
bin1101000010100…
…0111100100010
310210220201121100
43100220330202
5103000144131
65232135230
71232613516
oct320507442
9123821540
1054693666
1128967185
1216397516
13b43c921
14739a146
154c057e6
hex3428f22

54693666 has 48 divisors (see below), whose sum is σ = 125367840. Its totient is φ = 17232696.

The previous prime is 54693601. The next prime is 54693677. The reversal of 54693666 is 66639645.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123241 + ... + 123683.

It is an arithmetic number, because the mean of its divisors is an integer number (2611830).

Almost surely, 254693666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54693666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62683920).

54693666 is an abundant number, since it is smaller than the sum of its proper divisors (70674174).

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

54693666 is a wasteful number, since it uses less digits than its factorization.

54693666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 467 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 54693666 is about 7395.5166148147. The cubic root of 54693666 is about 379.5878865541.

The spelling of 54693666 in words is "fifty-four million, six hundred ninety-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 443 722 886 1083 1329 2166 2658 3249 3987 6498 6859 7974 8417 13718 16834 20577 25251 41154 50502 61731 75753 123462 151506 159923 319846 479769 959538 1439307 2878614 3038537 6077074 9115611 18231222 27346833 54693666