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48576690 = 23252331757
BaseRepresentation
bin1011100101001…
…1100010110010
310101101221200200
42321103202302
544413423230
64453100030
71126616001
oct271234262
9111357620
1048576690
1125469428
1214327616
13a0aa606
146646c38
1543e8160
hex2e538b2

48576690 has 96 divisors (see below), whose sum is σ = 136221696. Its totient is φ = 11975040.

The previous prime is 48576637. The next prime is 48576691. The reversal of 48576690 is 9667584.

48576690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×485766902 = 4719389622712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48576691) 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 47 ways as a sum of consecutive naturals, for example, 63792 + ... + 64548.

It is an arithmetic number, because the mean of its divisors is an integer number (1418976).

Almost surely, 248576690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48576690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68110848).

48576690 is an abundant number, since it is smaller than the sum of its proper divisors (87645006).

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

48576690 is a wasteful number, since it uses less digits than its factorization.

48576690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 48576690 is about 6969.6979848484. The cubic root of 48576690 is about 364.8737663183.

The spelling of 48576690 in words is "forty-eight million, five hundred seventy-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 31 45 46 62 69 90 93 115 138 155 186 207 230 279 310 345 414 465 558 690 713 757 930 1035 1395 1426 1514 2070 2139 2271 2790 3565 3785 4278 4542 6417 6813 7130 7570 10695 11355 12834 13626 17411 21390 22710 23467 32085 34065 34822 46934 52233 64170 68130 70401 87055 104466 117335 140802 156699 174110 211203 234670 261165 313398 352005 422406 522330 539741 704010 783495 1056015 1079482 1566990 1619223 2112030 2698705 3238446 4857669 5397410 8096115 9715338 16192230 24288345 48576690