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53354000 = 2453737103
BaseRepresentation
bin1100101110000…
…1111000010000
310201101122221002
43023201320100
5102124312000
65143321132
71215334010
oct313417020
9121348832
1053354000
1128131717
1215a501a8
13b090c1b
14712bc40
154a3d8d5
hex32e1e10

53354000 has 160 divisors (see below), whose sum is σ = 152894976. Its totient is φ = 17625600.

The previous prime is 53353999. The next prime is 53354003. The reversal of 53354000 is 45335.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (53354003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 517949 + ... + 518051.

Almost surely, 253354000 is an apocalyptic number.

53354000 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 53354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76447488).

53354000 is an abundant number, since it is smaller than the sum of its proper divisors (99540976).

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

53354000 is a wasteful number, since it uses less digits than its factorization.

53354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 53354000 is about 7304.3822462957. The cubic root of 53354000 is about 376.4630254685.

Adding to 53354000 its reverse (45335), we get a palindrome (53399335).

The spelling of 53354000 in words is "fifty-three million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 80 100 103 112 125 140 148 175 185 200 206 250 259 280 296 350 370 400 412 500 515 518 560 592 700 721 740 824 875 925 1000 1030 1036 1295 1400 1442 1480 1648 1750 1850 2000 2060 2072 2575 2590 2800 2884 2960 3500 3605 3700 3811 4120 4144 4625 5150 5180 5768 6475 7000 7210 7400 7622 8240 9250 10300 10360 11536 12875 12950 14000 14420 14800 15244 18025 18500 19055 20600 20720 25750 25900 26677 28840 30488 32375 36050 37000 38110 41200 51500 51800 53354 57680 60976 64750 72100 74000 76220 90125 95275 103000 103600 106708 129500 133385 144200 152440 180250 190550 206000 213416 259000 266770 288400 304880 360500 381100 426832 476375 518000 533540 666925 721000 762200 952750 1067080 1333850 1442000 1524400 1905500 2134160 2667700 3334625 3811000 5335400 6669250 7622000 10670800 13338500 26677000 53354000