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47325672 = 23321076143
BaseRepresentation
bin1011010010001…
…0000111101000
310022001101121200
42310202013220
544103410142
64410204200
71113155502
oct264420750
9108041550
1047325672
1124794529
1213a23660
139a60074
1463dcd72
15424c64c
hex2d221e8

47325672 has 48 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 15625248.

The previous prime is 47325647. The next prime is 47325673. The reversal of 47325672 is 27652374.

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 (47325673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4633 + ... + 10775.

It is an arithmetic number, because the mean of its divisors is an integer number (2695680).

Almost surely, 247325672 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 47325672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

47325672 is an abundant number, since it is smaller than the sum of its proper divisors (82066968).

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

47325672 is a wasteful number, since it uses less digits than its factorization.

47325672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6255 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 47325672 is about 6879.3656684319. The cubic root of 47325672 is about 361.7142317002.

It can be divided in two parts, 4732 and 5672, that added together give a square (10404 = 1022).

The spelling of 47325672 in words is "forty-seven million, three hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 6143 7704 12286 18429 24572 36858 49144 55287 73716 110574 147432 221148 442296 657301 1314602 1971903 2629204 3943806 5258408 5915709 7887612 11831418 15775224 23662836 47325672