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56899440 = 24325136079
BaseRepresentation
bin1101100100001…
…1011101110000
310222001210100200
43121003131300
5104031240230
65351315200
71260431403
oct331033560
9128053320
1056899440
112a133434
121707bb00
13ba32910
1477b1d3a
154ede160
hex3643770

56899440 has 120 divisors (see below), whose sum is σ = 205820160. Its totient is φ = 14003712.

The previous prime is 56899439. The next prime is 56899481. The reversal of 56899440 is 4499865.

It is a happy number.

56899440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6321 + ... + 12399.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 256899440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56899440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910080).

56899440 is an abundant number, since it is smaller than the sum of its proper divisors (148920720).

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

56899440 is a wasteful number, since it uses less digits than its factorization.

56899440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56899440 is about 7543.1717466859. The cubic root of 56899440 is about 384.6236610322.

It can be divided in two parts, 5689 and 9440, that added together give a square (15129 = 1232).

The spelling of 56899440 in words is "fifty-six million, eight hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 6079 9360 12158 18237 24316 30395 36474 48632 54711 60790 72948 79027 91185 97264 109422 121580 145896 158054 182370 218844 237081 243160 273555 291792 316108 364740 395135 437688 474162 486320 547110 632216 711243 729480 790270 875376 948324 1094220 1185405 1264432 1422486 1458960 1580540 1896648 2188440 2370810 2844972 3161080 3556215 3793296 4376880 4741620 5689944 6322160 7112430 9483240 11379888 14224860 18966480 28449720 56899440