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2920055472 = 2432296731039
BaseRepresentation
bin1010111000001100…
…1000001010110000
321112111121012001200
42232003020022300
521440013233342
61201430531200
7132235030155
oct25603101260
97474535050
102920055472
111269327994
12695b06b00
13376c73499
141d9b5622c
1512155194c
hexae0c82b0

2920055472 has 120 divisors (see below), whose sum is σ = 8474606400. Its totient is φ = 937488384.

The previous prime is 2920055471. The next prime is 2920055477. The reversal of 2920055472 is 2745500292.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2920055471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2809929 + ... + 2810967.

It is an arithmetic number, because the mean of its divisors is an integer number (70621720).

Almost surely, 22920055472 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 2920055472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237303200).

2920055472 is an abundant number, since it is smaller than the sum of its proper divisors (5554550928).

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

2920055472 is a wasteful number, since it uses less digits than its factorization.

2920055472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2920055472 is about 54037.5376196954. The cubic root of 2920055472 is about 1429.3229507217.

The spelling of 2920055472 in words is "two billion, nine hundred twenty million, fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 673 696 1039 1044 1346 1392 2019 2078 2088 2692 3117 4038 4156 4176 5384 6057 6234 8076 8312 9351 10768 12114 12468 16152 16624 18702 19517 24228 24936 30131 32304 37404 39034 48456 49872 58551 60262 74808 78068 90393 96912 117102 120524 149616 156136 175653 180786 234204 241048 271179 312272 351306 361572 468408 482096 542358 699247 702612 723144 936816 1084716 1398494 1405224 1446288 2097741 2169432 2796988 2810448 4195482 4338864 5593976 6293223 8390964 11187952 12586446 16781928 20278163 25172892 33563856 40556326 50345784 60834489 81112652 100691568 121668978 162225304 182503467 243337956 324450608 365006934 486675912 730013868 973351824 1460027736 2920055472