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483240672 = 25322372953
BaseRepresentation
bin11100110011011…
…010101011100000
31020200022011120200
4130303122223200
51442202200142
6115541305200
714655322635
oct3463325340
91220264520
10483240672
1122885a962
12115a05200
1379167a35
144827218c
152c65764c
hex1ccdaae0

483240672 has 72 divisors (see below), whose sum is σ = 1433983824. Its totient is φ = 154074624.

The previous prime is 483240647. The next prime is 483240673. The reversal of 483240672 is 276042384.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×4832406723 (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483240673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29853 + ... + 43100.

It is an arithmetic number, because the mean of its divisors is an integer number (19916442).

Almost surely, 2483240672 is an apocalyptic number.

It is an amenable number.

483240672 is an abundant number, since it is smaller than the sum of its proper divisors (950743152).

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

483240672 is a wasteful number, since it uses less digits than its factorization.

483240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72992 (or 72981 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 483240672 is about 21982.7357715094. The cubic root of 483240672 is about 784.7316334189.

The spelling of 483240672 in words is "four hundred eighty-three million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 72953 145906 218859 291812 437718 583624 656577 875436 1167248 1313154 1677919 1750872 2334496 2626308 3355838 3501744 5033757 5252616 6711676 7003488 10067514 10505232 13423352 15101271 20135028 21010464 26846704 30202542 40270056 53693408 60405084 80540112 120810168 161080224 241620336 483240672