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55492320 = 2535138893
BaseRepresentation
bin1101001110101…
…1111011100000
310212102022011010
43103223323200
5103201223240
65301220520
71242451122
oct323537340
9125368133
1055492320
1129362224
1216701740
13b65c2c0
147527212
154d12280
hex34ebee0

55492320 has 96 divisors (see below), whose sum is σ = 188268192. Its totient is φ = 13658112.

The previous prime is 55492313. The next prime is 55492321. The reversal of 55492320 is 2329455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55492321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (1961127).

Almost surely, 255492320 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 55492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94134096).

55492320 is an abundant number, since it is smaller than the sum of its proper divisors (132775872).

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

55492320 is a wasteful number, since it uses less digits than its factorization.

55492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8916 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55492320 is about 7449.3167471923. The cubic root of 55492320 is about 381.4265859386.

The spelling of 55492320 in words is "fifty-five million, four hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 8893 17786 26679 35572 44465 53358 71144 88930 106716 115609 133395 142288 177860 213432 231218 266790 284576 346827 355720 426864 462436 533580 578045 693654 711440 853728 924872 1067160 1156090 1387308 1422880 1734135 1849744 2134320 2312180 2774616 3468270 3699488 4268640 4624360 5549232 6936540 9248720 11098464 13873080 18497440 27746160 55492320