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54391008 = 2537292791
BaseRepresentation
bin1100111101111…
…1000011100000
310210100100102210
43033133003200
5102411003013
65221442120
71230213240
oct317370340
9123310383
1054391008
112877a851
1216270340
13b364c39
14731bb20
154b95cc3
hex33df0e0

54391008 has 96 divisors (see below), whose sum is σ = 168860160. Its totient is φ = 14999040.

The previous prime is 54391003. The next prime is 54391031. The reversal of 54391008 is 80019345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54391003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18093 + ... + 20883.

It is an arithmetic number, because the mean of its divisors is an integer number (1758960).

Almost surely, 254391008 is an apocalyptic number.

54391008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54391008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84430080).

54391008 is an abundant number, since it is smaller than the sum of its proper divisors (114469152).

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

54391008 is a wasteful number, since it uses less digits than its factorization.

54391008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 54391008 is about 7375.0259660560. The cubic root of 54391008 is about 378.8864166750.

The spelling of 54391008 in words is "fifty-four million, three hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 2791 3248 4872 5582 6496 8373 9744 11164 16746 19488 19537 22328 33492 39074 44656 58611 66984 78148 80939 89312 117222 133968 156296 161878 234444 242817 267936 312592 323756 468888 485634 566573 625184 647512 937776 971268 1133146 1295024 1699719 1875552 1942536 2266292 2590048 3399438 3885072 4532584 6798876 7770144 9065168 13597752 18130336 27195504 54391008