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55481760 = 253551427
BaseRepresentation
bin1101001110100…
…1010110100000
310212101202200000
43103221112200
5103200404020
65301100000
71242405255
oct323512640
9125352600
1055481760
11293552a4
12166b7600
13b657559
14752342c
154d0e090
hex34e95a0

55481760 has 144 divisors (see below), whose sum is σ = 196481376. Its totient is φ = 14784768.

The previous prime is 55481737. The next prime is 55481791. The reversal of 55481760 is 6718455.

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

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

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, 38167 + ... + 39593.

It is an arithmetic number, because the mean of its divisors is an integer number (1364454).

Almost surely, 255481760 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 55481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98240688).

55481760 is an abundant number, since it is smaller than the sum of its proper divisors (140999616).

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

55481760 is a wasteful number, since it uses less digits than its factorization.

55481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 55481760 is about 7448.6079236324. The cubic root of 55481760 is about 381.4023896758.

The spelling of 55481760 in words is "fifty-five million, four hundred eighty-one thousand, seven hundred sixty".

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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1427 1440 1620 1944 2160 2430 2592 2854 3240 3888 4281 4320 4860 5708 6480 7135 7776 8562 9720 11416 12843 12960 14270 17124 19440 21405 22832 25686 28540 34248 38529 38880 42810 45664 51372 57080 64215 68496 77058 85620 102744 114160 115587 128430 136992 154116 171240 192645 205488 228320 231174 256860 308232 342480 346761 385290 410976 462348 513720 577935 616464 684960 693522 770580 924696 1027440 1155870 1232928 1387044 1541160 1733805 1849392 2054880 2311740 2774088 3082320 3467610 3698784 4623480 5548176 6164640 6935220 9246960 11096352 13870440 18493920 27740880 55481760