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55255040 = 21351971
BaseRepresentation
bin1101001011001…
…0000000000000
310211222020122222
43102302000000
5103121130130
65252150212
71240442261
oct322620000
9124866588
1055255040
112920aa25
1216608368
13b5a82b9
1474a4968
154cb6ce5
hex34b2000

55255040 has 112 divisors (see below), whose sum is σ = 141549120. Its totient is φ = 20643840.

The previous prime is 55255019. The next prime is 55255061. The reversal of 55255040 is 4055255.

It is an interprime number because it is at equal distance from previous prime (55255019) and next prime (55255061).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778205 + ... + 778275.

Almost surely, 255255040 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 55255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70774560).

55255040 is an abundant number, since it is smaller than the sum of its proper divisors (86294080).

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

55255040 is an equidigital number, since it uses as much as digits as its factorization.

55255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 26.

The square root of 55255040 is about 7433.3733930161. The cubic root of 55255040 is about 380.8821610256.

The spelling of 55255040 in words is "fifty-five million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 71 76 80 95 128 142 152 160 190 256 284 304 320 355 380 512 568 608 640 710 760 1024 1136 1216 1280 1349 1420 1520 2048 2272 2432 2560 2698 2840 3040 4096 4544 4864 5120 5396 5680 6080 6745 8192 9088 9728 10240 10792 11360 12160 13490 18176 19456 20480 21584 22720 24320 26980 36352 38912 40960 43168 45440 48640 53960 72704 77824 86336 90880 97280 107920 145408 155648 172672 181760 194560 215840 290816 345344 363520 389120 431680 581632 690688 727040 778240 863360 1381376 1454080 1726720 2762752 2908160 3453440 5525504 6906880 11051008 13813760 27627520 55255040