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55949300 = 225211192677
BaseRepresentation
bin1101010101101…
…1011111110100
310220021112000022
43111123133310
5103310334200
65315104312
71246363331
oct325333764
9126245008
1055949300
11296445a0
12168a2098
13b78c2c4
147605988
154da2885
hex355b7f4

55949300 has 72 divisors (see below), whose sum is σ = 139470240. Its totient is φ = 19267200.

The previous prime is 55949279. The next prime is 55949303. The reversal of 55949300 is 394955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55949303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19562 + ... + 22238.

Almost surely, 255949300 is an apocalyptic number.

55949300 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 55949300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69735120).

55949300 is an abundant number, since it is smaller than the sum of its proper divisors (83520940).

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

55949300 is a wasteful number, since it uses less digits than its factorization.

55949300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 55949300 is about 7479.9264702268. The cubic root of 55949300 is about 382.4707426324.

The spelling of 55949300 in words is "fifty-five million, nine hundred forty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 2677 4180 5225 5354 10450 10708 13385 20900 26770 29447 50863 53540 58894 66925 101726 117788 133850 147235 203452 254315 267700 294470 508630 559493 588940 736175 1017260 1118986 1271575 1472350 2237972 2543150 2797465 2944700 5086300 5594930 11189860 13987325 27974650 55949300