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48544146 = 232717131173
BaseRepresentation
bin1011100100101…
…1100110010010
310101100022001100
42321023212102
544411403041
64452245230
71126422060
oct271134622
9111308040
1048544146
1125446a32
1214310816
13a098861
146639030
1543dd6b6
hex2e4b992

48544146 has 96 divisors (see below), whose sum is σ = 128988288. Its totient is φ = 12879360.

The previous prime is 48544121. The next prime is 48544147. The reversal of 48544146 is 64144584.

It is a happy number.

48544146 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 2×485441462 = 4713068221738632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48544146.

It is not an unprimeable number, because it can be changed into a prime (48544147) 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, 280516 + ... + 280688.

It is an arithmetic number, because the mean of its divisors is an integer number (1343628).

Almost surely, 248544146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48544146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64494144).

48544146 is an abundant number, since it is smaller than the sum of its proper divisors (80444142).

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

48544146 is a wasteful number, since it uses less digits than its factorization.

48544146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48544146 is about 6967.3629157666. The cubic root of 48544146 is about 364.7922656053.

The spelling of 48544146 in words is "forty-eight million, five hundred forty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 131 153 173 238 262 306 346 357 393 519 714 786 917 1038 1071 1179 1211 1557 1834 2142 2227 2358 2422 2751 2941 3114 3633 4454 5502 5882 6681 7266 8253 8823 10899 13362 15589 16506 17646 20043 20587 21798 22663 26469 31178 40086 41174 45326 46767 52938 61761 67989 93534 123522 135978 140301 158641 185283 203967 280602 317282 370566 385271 407934 475923 770542 951846 1155813 1427769 2311626 2696897 2855538 3467439 5393794 6934878 8090691 16181382 24272073 48544146