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55756350 = 2355213353
BaseRepresentation
bin1101010010110…
…0011000111110
310212220201100000
43110230120332
5103233200400
65311015130
71244630646
oct324543076
9125821300
1055756350
1129522631
121680a4a6
13b722530
147595526
154d65600
hex352c63e

55756350 has 144 divisors (see below), whose sum is σ = 167770512. Its totient is φ = 13685760.

The previous prime is 55756339. The next prime is 55756403. The reversal of 55756350 is 5365755.

55756350 is a `hidden beast` number, since 557 + 56 + 3 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157774 + ... + 158126.

It is an arithmetic number, because the mean of its divisors is an integer number (1165073).

Almost surely, 255756350 is an apocalyptic number.

55756350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55756350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83885256).

55756350 is an abundant number, since it is smaller than the sum of its proper divisors (112014162).

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

55756350 is a wasteful number, since it uses less digits than its factorization.

55756350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 55756350 is about 7467.0174768779. The cubic root of 55756350 is about 382.0305659779.

The spelling of 55756350 in words is "fifty-five million, seven hundred fifty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 243 270 325 351 353 390 405 450 486 585 650 675 702 706 810 975 1053 1059 1170 1215 1350 1755 1765 1950 2025 2106 2118 2430 2925 3159 3177 3510 3530 4050 4589 5265 5295 5850 6075 6318 6354 8775 8825 9178 9531 10530 10590 12150 13767 15795 15885 17550 17650 19062 22945 26325 26475 27534 28593 31590 31770 41301 45890 47655 52650 52950 57186 68835 78975 79425 82602 85779 95310 114725 123903 137670 142965 157950 158850 171558 206505 229450 238275 247806 285930 344175 371709 413010 428895 476550 619515 688350 714825 743418 857790 1032525 1115127 1239030 1429650 1858545 2065050 2144475 2230254 3097575 3717090 4288950 5575635 6195150 9292725 11151270 18585450 27878175 55756350