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55942000 = 245383337
BaseRepresentation
bin1101010101100…
…1101101110000
310220021010222221
43111121231300
5103310121000
65315010424
71246333132
oct325315560
9126233887
1055942000
112963a064
1216899a14
13b788b9a
147603052
154da061a
hex3559b70

55942000 has 80 divisors (see below), whose sum is σ = 137303712. Its totient is φ = 22041600.

The previous prime is 55941997. The next prime is 55942001. The reversal of 55942000 is 24955.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55942001) 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, 165832 + ... + 166168.

Almost surely, 255942000 is an apocalyptic number.

55942000 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 55942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68651856).

55942000 is an abundant number, since it is smaller than the sum of its proper divisors (81361712).

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

55942000 is a wasteful number, since it uses less digits than its factorization.

55942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 55942000 is about 7479.4384815974. The cubic root of 55942000 is about 382.4541075844.

Adding to 55942000 its reverse (24955), we get a palindrome (55966955).

The spelling of 55942000 in words is "fifty-five million, nine hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 337 400 415 500 664 674 830 1000 1328 1348 1660 1685 2000 2075 2696 3320 3370 4150 5392 6640 6740 8300 8425 10375 13480 16600 16850 20750 26960 27971 33200 33700 41500 42125 55942 67400 83000 84250 111884 134800 139855 166000 168500 223768 279710 337000 447536 559420 674000 699275 1118840 1398550 2237680 2797100 3496375 5594200 6992750 11188400 13985500 27971000 55942000