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55678320 = 24335149173
BaseRepresentation
bin1101010001100…
…1010101110000
310212202202022000
43110121111300
5103223201240
65305214000
71244154315
oct324312560
9125682260
1055678320
1129479a45
1216791300
13b6c5b69
147574d0c
154d4c430
hex3519570

55678320 has 160 divisors (see below), whose sum is σ = 194184000. Its totient is φ = 14662656.

The previous prime is 55678313. The next prime is 55678321. The reversal of 55678320 is 2387655.

55678320 is a `hidden beast` number, since 556 + 7 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55678321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321754 + ... + 321926.

It is an arithmetic number, because the mean of its divisors is an integer number (1213650).

Almost surely, 255678320 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 55678320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97092000).

55678320 is an abundant number, since it is smaller than the sum of its proper divisors (138505680).

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

55678320 is a wasteful number, since it uses less digits than its factorization.

55678320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55678320 is about 7461.7906698057. The cubic root of 55678320 is about 381.8522678289.

The spelling of 55678320 in words is "fifty-five million, six hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 149 173 180 216 240 270 298 346 360 432 447 519 540 596 692 720 745 865 894 1038 1080 1192 1341 1384 1490 1557 1730 1788 2076 2160 2235 2384 2595 2682 2768 2980 3114 3460 3576 4023 4152 4470 4671 5190 5364 5960 6228 6705 6920 7152 7785 8046 8304 8940 9342 10380 10728 11920 12456 13410 13840 15570 16092 17880 18684 20115 20760 21456 23355 24912 25777 26820 31140 32184 35760 37368 40230 41520 46710 51554 53640 62280 64368 74736 77331 80460 93420 103108 107280 124560 128885 154662 160920 186840 206216 231993 257770 309324 321840 373680 386655 412432 463986 515540 618648 695979 773310 927972 1031080 1159965 1237296 1391958 1546620 1855944 2062160 2319930 2783916 3093240 3479895 3711888 4639860 5567832 6186480 6959790 9279720 11135664 13919580 18559440 27839160 55678320