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480165112 = 237219232803
BaseRepresentation
bin11100100111101…
…011110011111000
31020110111220201001
4130213223303320
51440410240422
6115351334344
714620223200
oct3447536370
91213456631
10480165112
1122704a179
121149813b4
137862bb8b
1447ab1400
152c24b227
hex1c9ebcf8

480165112 has 96 divisors (see below), whose sum is σ = 1150761600. Its totient is φ = 186411456.

The previous prime is 480165097. The next prime is 480165143. The reversal of 480165112 is 211561084.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169903 + ... + 172705.

It is an arithmetic number, because the mean of its divisors is an integer number (11987100).

Almost surely, 2480165112 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 480165112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575380800).

480165112 is an abundant number, since it is smaller than the sum of its proper divisors (670596488).

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

480165112 is a wasteful number, since it uses less digits than its factorization.

480165112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 480165112 is about 21912.6701248387. The cubic root of 480165112 is about 783.0632945566.

The spelling of 480165112 in words is "four hundred eighty million, one hundred sixty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 49 56 76 92 98 133 152 161 184 196 266 322 392 437 532 644 874 931 1064 1127 1288 1748 1862 2254 2803 3059 3496 3724 4508 5606 6118 7448 9016 11212 12236 19621 21413 22424 24472 39242 42826 53257 64469 78484 85652 106514 128938 137347 156968 171304 213028 257876 274694 372799 426056 451283 515752 549388 745598 902566 1098776 1224911 1491196 1805132 2449822 2609593 2982392 3158981 3610264 4899644 5219186 6317962 8574377 9799288 10438372 12635924 17148754 20876744 25271848 34297508 60020639 68595016 120041278 240082556 480165112