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54397000 = 2353719409
BaseRepresentation
bin1100111110000…
…0100001001000
310210100122122201
43033200201020
5102411201000
65221525544
71230236560
oct317404110
9123318581
1054397000
11287842a9
12162738b4
13b367898
14731dda0
154b9796a
hex33e0848

54397000 has 128 divisors (see below), whose sum is σ = 153504000. Its totient is φ = 17625600.

The previous prime is 54396973. The next prime is 54397003. The reversal of 54397000 is 79345.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 54397000.

It is not an unprimeable number, because it can be changed into a prime (54397003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132796 + ... + 133204.

It is an arithmetic number, because the mean of its divisors is an integer number (1199250).

Almost surely, 254397000 is an apocalyptic number.

54397000 is a gapful number since it is divisible by the number (50) 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 54397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76752000).

54397000 is an abundant number, since it is smaller than the sum of its proper divisors (99107000).

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

54397000 is a wasteful number, since it uses less digits than its factorization.

54397000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 54397000 is about 7375.4321907262. The cubic root of 54397000 is about 378.9003295387.

The spelling of 54397000 in words is "fifty-four million, three hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 409 475 500 532 665 700 760 818 875 950 1000 1064 1330 1400 1636 1750 1900 2045 2375 2660 2863 3272 3325 3500 3800 4090 4750 5320 5726 6650 7000 7771 8180 9500 10225 11452 13300 14315 15542 16360 16625 19000 20450 22904 26600 28630 31084 33250 38855 40900 51125 54397 57260 62168 66500 71575 77710 81800 102250 108794 114520 133000 143150 155420 194275 204500 217588 271985 286300 310840 357875 388550 409000 435176 543970 572600 715750 777100 971375 1087940 1359925 1431500 1554200 1942750 2175880 2719850 2863000 3885500 5439700 6799625 7771000 10879400 13599250 27198500 54397000