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55392000 = 28353577
BaseRepresentation
bin1101001101001…
…1011100000000
310212020012112120
43103103130000
5103140021000
65255124240
71241552466
oct323233400
9125205476
1055392000
11292a3914
1216673680
13b625741
1474dc836
154ce26a0
hex34d3700

55392000 has 144 divisors (see below), whose sum is σ = 184303392. Its totient is φ = 14745600.

The previous prime is 55391989. The next prime is 55392019. The reversal of 55392000 is 29355.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 95712 + ... + 96288.

Almost surely, 255392000 is an apocalyptic number.

55392000 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 55392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92151696).

55392000 is an abundant number, since it is smaller than the sum of its proper divisors (128911392).

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

55392000 is an equidigital number, since it uses as much as digits as its factorization.

55392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 55392000 is about 7442.5801977540. The cubic root of 55392000 is about 381.1965973754.

It can be divided in two parts, 55 and 392000, that added together give a triangular number (392055 = T885).

The spelling of 55392000 in words is "fifty-five million, three hundred ninety-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 577 600 640 750 768 800 960 1000 1154 1200 1280 1500 1600 1731 1920 2000 2308 2400 2885 3000 3200 3462 3840 4000 4616 4800 5770 6000 6400 6924 8000 8655 9232 9600 11540 12000 13848 14425 16000 17310 18464 19200 23080 24000 27696 28850 32000 34620 36928 43275 46160 48000 55392 57700 69240 72125 73856 86550 92320 96000 110784 115400 138480 144250 147712 173100 184640 216375 221568 230800 276960 288500 346200 369280 432750 443136 461600 553920 577000 692400 738560 865500 923200 1107840 1154000 1384800 1731000 1846400 2215680 2308000 2769600 3462000 3692800 4616000 5539200 6924000 9232000 11078400 13848000 18464000 27696000 55392000