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55920500 = 2253971153
BaseRepresentation
bin1101010101010…
…0011101110100
310220020001111122
43111110131310
5103303424000
65314323112
71246213346
oct325243564
9126201448
1055920500
1129624999
1216889498
13b77c16c
1475d9296
154d99085
hex3554774

55920500 has 48 divisors (see below), whose sum is σ = 123496464. Its totient is φ = 22118400.

The previous prime is 55920479. The next prime is 55920539. The reversal of 55920500 is 502955.

It can be written as a sum of positive squares in 8 ways, for example, as 11751184 + 44169316 = 3428^2 + 6646^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55920500.

It is a congruent number.

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, 47924 + ... + 49076.

It is an arithmetic number, because the mean of its divisors is an integer number (2572843).

Almost surely, 255920500 is an apocalyptic number.

55920500 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 55920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61748232).

55920500 is an abundant number, since it is smaller than the sum of its proper divisors (67575964).

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

55920500 is a wasteful number, since it uses less digits than its factorization.

55920500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 55920500 is about 7478.0010698047. The cubic root of 55920500 is about 382.4051055410.

The spelling of 55920500 in words is "fifty-five million, nine hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 970 1153 1940 2306 2425 4612 4850 5765 9700 11530 12125 23060 24250 28825 48500 57650 111841 115300 144125 223682 288250 447364 559205 576500 1118410 2236820 2796025 5592050 11184100 13980125 27960250 55920500