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55477440 = 263356421
BaseRepresentation
bin1101001110100…
…0010011000000
310212101112202000
43103220103000
5103200234230
65301024000
71242356544
oct323502300
9125345660
1055477440
1129352027
12166b5000
13b6555b5
147521a24
154d0cb60
hex34e84c0

55477440 has 112 divisors (see below), whose sum is σ = 195742560. Its totient is φ = 14791680.

The previous prime is 55477423. The next prime is 55477441. The reversal of 55477440 is 4477455.

55477440 is a `hidden beast` number, since 5 + 547 + 74 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55477395 and 55477404.

It is not an unprimeable number, because it can be changed into a prime (55477441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5430 + ... + 11850.

Almost surely, 255477440 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 55477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97871280).

55477440 is an abundant number, since it is smaller than the sum of its proper divisors (140265120).

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

55477440 is a wasteful number, since it uses less digits than its factorization.

55477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 55477440 is about 7448.3179309157. The cubic root of 55477440 is about 381.3924903198.

The spelling of 55477440 in words is "fifty-five million, four hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 6421 8640 12842 19263 25684 32105 38526 51368 57789 64210 77052 96315 102736 115578 128420 154104 173367 192630 205472 231156 256840 288945 308208 346734 385260 410944 462312 513680 577890 616416 693468 770520 866835 924624 1027360 1155780 1232832 1386936 1541040 1733670 1849248 2054720 2311560 2773872 3082080 3467340 3698496 4623120 5547744 6164160 6934680 9246240 11095488 13869360 18492480 27738720 55477440