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48119568 = 2437241499
BaseRepresentation
bin1011011110001…
…1111100010000
310100112201122020
42313203330100
544304311233
64435211440
71123003200
oct267437420
9110481566
1048119568
1125186a42
1214146b80
139c7a523
146568400
1543579b3
hex2de3f10

48119568 has 120 divisors (see below), whose sum is σ = 148428000. Its totient is φ = 13386240.

The previous prime is 48119557. The next prime is 48119579. The reversal of 48119568 is 86591184.

It is an interprime number because it is at equal distance from previous prime (48119557) and next prime (48119579).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96183 + ... + 96681.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 248119568 is an apocalyptic number.

48119568 is a gapful number since it is divisible by the number (48) 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 48119568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74214000).

48119568 is an abundant number, since it is smaller than the sum of its proper divisors (100308432).

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

48119568 is a wasteful number, since it uses less digits than its factorization.

48119568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 48119568 is about 6936.8269403237. The cubic root of 48119568 is about 363.7256315084.

The spelling of 48119568 in words is "forty-eight million, one hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 168 196 246 287 294 328 336 392 492 499 574 588 656 784 861 984 998 1148 1176 1497 1722 1968 1996 2009 2296 2352 2994 3444 3493 3992 4018 4592 5988 6027 6888 6986 7984 8036 10479 11976 12054 13776 13972 16072 20459 20958 23952 24108 24451 27944 32144 40918 41916 48216 48902 55888 61377 73353 81836 83832 96432 97804 122754 143213 146706 163672 167664 195608 245508 286426 293412 327344 391216 429639 491016 572852 586824 859278 982032 1002491 1145704 1173648 1718556 2004982 2291408 3007473 3437112 4009964 6014946 6874224 8019928 12029892 16039856 24059784 48119568