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48676572 = 2233731267
BaseRepresentation
bin1011100110101…
…1111011011100
310101121000201000
42321223323130
544430122242
64455150300
71130513130
oct271537334
9111530630
1048676572
112552747a
1214375390
13a113c09
1466713c0
154417a4c
hex2e6bedc

48676572 has 144 divisors (see below), whose sum is σ = 151253760. Its totient is φ = 13258080.

The previous prime is 48676519. The next prime is 48676577. The reversal of 48676572 is 27567684.

48676572 is a `hidden beast` number, since 4 + 8 + 6 + 76 + 572 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48676577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726483 + ... + 726549.

Almost surely, 248676572 is an apocalyptic number.

48676572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48676572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75626880).

48676572 is an abundant number, since it is smaller than the sum of its proper divisors (102577188).

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

48676572 is a wasteful number, since it uses less digits than its factorization.

48676572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 48676572 is about 6976.8597520661. The cubic root of 48676572 is about 365.1236761099.

The spelling of 48676572 in words is "forty-eight million, six hundred seventy-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 67 84 93 108 124 126 134 186 189 201 217 252 268 279 372 378 402 434 469 558 603 651 756 804 837 868 938 961 1116 1206 1302 1407 1674 1809 1876 1922 1953 2077 2412 2604 2814 2883 3348 3618 3844 3906 4154 4221 5628 5766 5859 6231 6727 7236 7812 8308 8442 8649 11532 11718 12462 12663 13454 14539 16884 17298 18693 20181 23436 24924 25326 25947 26908 29078 34596 37386 40362 43617 50652 51894 56079 58156 60543 64387 74772 80724 87234 103788 112158 121086 128774 130851 174468 181629 193161 224316 242172 257548 261702 363258 386322 392553 450709 523404 579483 726516 772644 785106 901418 1158966 1352127 1570212 1738449 1802836 2317932 2704254 3476898 4056381 5408508 6953796 8112762 12169143 16225524 24338286 48676572