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55994976 = 253519379
BaseRepresentation
bin1101010110011…
…0101001100000
310220100211200000
43111212221200
5103313314401
65320100000
71246643442
oct325465140
9126324600
1055994976
1129675944
1216904600
13b7a702b
147618492
154db1186
hex3566a60

55994976 has 144 divisors (see below), whose sum is σ = 174283200. Its totient is φ = 17635968.

The previous prime is 55994951. The next prime is 55994993. The reversal of 55994976 is 67949955.

55994976 is a `hidden beast` number, since 5 + 599 + 49 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147555 + ... + 147933.

It is an arithmetic number, because the mean of its divisors is an integer number (1210300).

Almost surely, 255994976 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 55994976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87141600).

55994976 is an abundant number, since it is smaller than the sum of its proper divisors (118288224).

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

55994976 is a wasteful number, since it uses less digits than its factorization.

55994976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 55994976 is about 7482.9790858989. The cubic root of 55994976 is about 382.5747950620.

The spelling of 55994976 in words is "fifty-five million, nine hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 379 432 456 486 513 608 648 684 758 864 912 972 1026 1137 1296 1368 1516 1539 1824 1944 2052 2274 2592 2736 3032 3078 3411 3888 4104 4548 4617 5472 6064 6156 6822 7201 7776 8208 9096 9234 10233 12128 12312 13644 14402 16416 18192 18468 20466 21603 24624 27288 28804 30699 36384 36936 40932 43206 49248 54576 57608 61398 64809 73872 81864 86412 92097 109152 115216 122796 129618 147744 163728 172824 184194 194427 230432 245592 259236 327456 345648 368388 388854 491184 518472 583281 691296 736776 777708 982368 1036944 1166562 1473552 1555416 1749843 2073888 2333124 2947104 3110832 3499686 4666248 6221664 6999372 9332496 13998744 18664992 27997488 55994976