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54420256 = 25111979103
BaseRepresentation
bin1100111110011…
…0001100100000
310210101211120001
43033212030200
5102412422011
65222225344
71230364432
oct317461440
9123354501
1054420256
112879a820
1216285254
13b375347
147328652
154b9e7c1
hex33e6320

54420256 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 22913280.

The previous prime is 54420239. The next prime is 54420257. The reversal of 54420256 is 65202445.

It is not an unprimeable number, because it can be changed into a prime (54420257) 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, 528301 + ... + 528403.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 254420256 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 54420256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

54420256 is an abundant number, since it is smaller than the sum of its proper divisors (71378144).

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

54420256 is a wasteful number, since it uses less digits than its factorization.

54420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 54420256 is about 7377.0086078301. The cubic root of 54420256 is about 378.9543181203.

The spelling of 54420256 in words is "fifty-four million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 79 88 103 152 158 176 206 209 304 316 352 412 418 608 632 824 836 869 1133 1264 1501 1648 1672 1738 1957 2266 2528 3002 3296 3344 3476 3914 4532 6004 6688 6952 7828 8137 9064 12008 13904 15656 16274 16511 18128 21527 24016 27808 31312 32548 33022 36256 43054 48032 62624 65096 66044 86108 89507 130192 132088 154603 172216 179014 260384 264176 309206 344432 358028 528352 618412 688864 716056 1236824 1432112 1700633 2473648 2864224 3401266 4947296 6802532 13605064 27210128 54420256