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55616000 = 29531179
BaseRepresentation
bin1101010000101…
…0001000000000
310212122120210212
43110022020000
5103214203000
65304013252
71243504526
oct324121000
9125576725
1055616000
1129437140
1216761228
13b6a369b
14755a316
154d38c35
hex350a200

55616000 has 160 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 19968000.

The previous prime is 55615991. The next prime is 55616003. The reversal of 55616000 is 61655.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55616003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 703961 + ... + 704039.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 255616000 is an apocalyptic number.

55616000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

55616000 is an abundant number, since it is smaller than the sum of its proper divisors (97588480).

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

55616000 is an equidigital number, since it uses as much as digits as its factorization.

55616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 55616000 is about 7457.6135593097. The cubic root of 55616000 is about 381.7097472606.

Adding to 55616000 its reverse (61655), we get a palindrome (55677655).

The spelling of 55616000 in words is "fifty-five million, six hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 79 80 88 100 110 125 128 158 160 176 200 220 250 256 275 316 320 352 395 400 440 500 512 550 632 640 704 790 800 869 880 1000 1100 1264 1280 1375 1408 1580 1600 1738 1760 1975 2000 2200 2528 2560 2750 2816 3160 3200 3476 3520 3950 4000 4345 4400 5056 5500 5632 6320 6400 6952 7040 7900 8000 8690 8800 9875 10112 11000 12640 12800 13904 14080 15800 16000 17380 17600 19750 20224 21725 22000 25280 27808 28160 31600 32000 34760 35200 39500 40448 43450 44000 50560 55616 63200 64000 69520 70400 79000 86900 88000 101120 108625 111232 126400 139040 140800 158000 173800 176000 202240 217250 222464 252800 278080 316000 347600 352000 434500 444928 505600 556160 632000 695200 704000 869000 1011200 1112320 1264000 1390400 1738000 2224640 2528000 2780800 3476000 5056000 5561600 6952000 11123200 13904000 27808000 55616000