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48077472 = 253500807
BaseRepresentation
bin1011011101100…
…1101010100000
310100110120220010
42313121222200
544301434342
64434244520
71122436362
oct267315240
9110416803
1048077472
1125158353
1214126740
139c64311
146556d32
15434a29c
hex2dd9aa0

48077472 has 24 divisors (see below), whose sum is σ = 126203616. Its totient is φ = 16025792.

The previous prime is 48077443. The next prime is 48077473. The reversal of 48077472 is 27477084.

48077472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×480774723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48077472.

It is not an unprimeable number, because it can be changed into a prime (48077473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250308 + ... + 250499.

It is an arithmetic number, because the mean of its divisors is an integer number (5258484).

Almost surely, 248077472 is an apocalyptic number.

It is an amenable number.

48077472 is an abundant number, since it is smaller than the sum of its proper divisors (78126144).

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

48077472 is a wasteful number, since it uses less digits than its factorization.

48077472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500820 (or 500812 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 48077472 is about 6933.7920361084. The cubic root of 48077472 is about 363.6195356455.

The spelling of 48077472 in words is "forty-eight million, seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 500807 1001614 1502421 2003228 3004842 4006456 6009684 8012912 12019368 16025824 24038736 48077472