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48236472 = 2338919
BaseRepresentation
bin1011100000000…
…0011110111000
310100202200000000
42320000132320
544322031342
64441513000
71124001054
oct270003670
9110680000
1048236472
1125256859
12141a2760
139cbb7bb
146598c64
15437c44c
hex2e007b8

48236472 has 72 divisors (see below), whose sum is σ = 135805800. Its totient is φ = 16061328.

The previous prime is 48236471. The next prime is 48236479. The reversal of 48236472 is 27463284.

48236472 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 647 + 2 = 666.

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

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 (48236471) 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 17 ways as a sum of consecutive naturals, for example, 52029 + ... + 52947.

Almost surely, 248236472 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 48236472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67902900).

48236472 is an abundant number, since it is smaller than the sum of its proper divisors (87569328).

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

48236472 is an frugal number, since it uses more digits than its factorization.

48236472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

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

The square root of 48236472 is about 6945.2481597132. The cubic root of 48236472 is about 364.0199441634.

The spelling of 48236472 in words is "forty-eight million, two hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 919 972 1458 1838 1944 2187 2757 2916 3676 4374 5514 5832 6561 7352 8271 8748 11028 13122 16542 17496 22056 24813 26244 33084 49626 52488 66168 74439 99252 148878 198504 223317 297756 446634 595512 669951 893268 1339902 1786536 2009853 2679804 4019706 5359608 6029559 8039412 12059118 16078824 24118236 48236472