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55276760 = 235711131137
BaseRepresentation
bin1101001011011…
…1010011011000
310212000100110102
43102313103120
5103122324020
65252434532
71240562510
oct322672330
9125010412
1055276760
1129225280
1216618a48
13b5b5156
1474ac840
154cbd475
hex34b74d8

55276760 has 128 divisors (see below), whose sum is σ = 157386240. Its totient is φ = 16972800.

The previous prime is 55276709. The next prime is 55276763. The reversal of 55276760 is 6767255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55276763) 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, 403412 + ... + 403548.

It is an arithmetic number, because the mean of its divisors is an integer number (1229580).

Almost surely, 255276760 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 55276760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78693120).

55276760 is an abundant number, since it is smaller than the sum of its proper divisors (102109480).

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

55276760 is a wasteful number, since it uses less digits than its factorization.

55276760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 55276760 is about 7434.8342281452. The cubic root of 55276760 is about 380.9320610094.

The spelling of 55276760 in words is "fifty-five million, two hundred seventy-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 131 137 140 154 220 262 274 280 308 385 440 524 548 616 655 685 770 917 959 1048 1096 1310 1370 1441 1507 1540 1834 1918 2620 2740 2882 3014 3080 3668 3836 4585 4795 5240 5480 5764 6028 7205 7336 7535 7672 9170 9590 10087 10549 11528 12056 14410 15070 17947 18340 19180 20174 21098 28820 30140 35894 36680 38360 40348 42196 50435 52745 57640 60280 71788 80696 84392 89735 100870 105490 125629 143576 179470 197417 201740 210980 251258 358940 394834 403480 421960 502516 628145 717880 789668 987085 1005032 1256290 1381919 1579336 1974170 2512580 2763838 3948340 5025160 5527676 6909595 7896680 11055352 13819190 27638380 55276760