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55077360 = 243513127139
BaseRepresentation
bin1101001000011…
…0100111110000
310211122012221020
43102012213300
5103044433420
65244255440
71236102252
oct322064760
9124565836
1055077360
11290a9488
1216541580
13b545470
147459cd2
154c7e340
hex34869f0

55077360 has 160 divisors (see below), whose sum is σ = 186654720. Its totient is φ = 13353984.

The previous prime is 55077329. The next prime is 55077377. The reversal of 55077360 is 6377055.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396171 + ... + 396309.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 255077360 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 55077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93327360).

55077360 is an abundant number, since it is smaller than the sum of its proper divisors (131577360).

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

55077360 is a wasteful number, since it uses less digits than its factorization.

55077360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 55077360 is about 7421.4122645222. The cubic root of 55077360 is about 380.4734633952.

The spelling of 55077360 in words is "fifty-five million, seventy-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 127 130 139 156 195 208 240 254 260 278 312 381 390 417 508 520 556 624 635 695 762 780 834 1016 1040 1112 1270 1390 1524 1560 1651 1668 1807 1905 2032 2085 2224 2540 2780 3048 3120 3302 3336 3614 3810 4170 4953 5080 5421 5560 6096 6604 6672 7228 7620 8255 8340 9035 9906 10160 10842 11120 13208 14456 15240 16510 16680 17653 18070 19812 21684 24765 26416 27105 28912 30480 33020 33360 35306 36140 39624 43368 49530 52959 54210 66040 70612 72280 79248 86736 88265 99060 105918 108420 132080 141224 144560 176530 198120 211836 216840 229489 264795 282448 353060 396240 423672 433680 458978 529590 688467 706120 847344 917956 1059180 1147445 1376934 1412240 1835912 2118360 2294890 2753868 3442335 3671824 4236720 4589780 5507736 6884670 9179560 11015472 13769340 18359120 27538680 55077360