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54992000 = 27537491
BaseRepresentation
bin1101000111000…
…1110010000000
310211110212211202
43101301302000
5103034221000
65242400332
71235265350
oct321616200
9124425752
1054992000
1129050338
12165000a8
13b51565b
147436b60
154c63dd5
hex3471c80

54992000 has 128 divisors (see below), whose sum is σ = 156574080. Its totient is φ = 18816000.

The previous prime is 54991999. The next prime is 54992039. The reversal of 54992000 is 29945.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111755 + ... + 112245.

It is an arithmetic number, because the mean of its divisors is an integer number (1223235).

Almost surely, 254992000 is an apocalyptic number.

54992000 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 54992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78287040).

54992000 is an abundant number, since it is smaller than the sum of its proper divisors (101582080).

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

54992000 is an equidigital number, since it uses as much as digits as its factorization.

54992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 54992000 is about 7415.6591075912. The cubic root of 54992000 is about 380.2768066247.

The spelling of 54992000 in words is "fifty-four million, nine hundred ninety-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 491 500 560 640 700 800 875 896 982 1000 1120 1400 1600 1750 1964 2000 2240 2455 2800 3200 3437 3500 3928 4000 4480 4910 5600 6874 7000 7856 8000 9820 11200 12275 13748 14000 15712 16000 17185 19640 22400 24550 27496 28000 31424 34370 39280 49100 54992 56000 61375 62848 68740 78560 85925 98200 109984 112000 122750 137480 157120 171850 196400 219968 245500 274960 314240 343700 392800 429625 439936 491000 549920 687400 785600 859250 982000 1099840 1374800 1571200 1718500 1964000 2199680 2749600 3437000 3928000 5499200 6874000 7856000 10998400 13748000 27496000 54992000