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48069056 = 267412617
BaseRepresentation
bin1011011101011…
…1100111000000
310100110011100102
42313113213000
544301202211
64434141532
71122403010
oct267274700
9110404312
1048069056
1125151aa2
12141218a8
139c60539
146553c40
154347a3b
hex2dd79c0

48069056 has 56 divisors (see below), whose sum is σ = 111715296. Its totient is φ = 20090880.

The previous prime is 48069041. The next prime is 48069061. The reversal of 48069056 is 65096084.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×480690563 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17060 + ... + 19676.

It is an arithmetic number, because the mean of its divisors is an integer number (1994916).

Almost surely, 248069056 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 48069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55857648).

48069056 is an abundant number, since it is smaller than the sum of its proper divisors (63646240).

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

48069056 is a wasteful number, since it uses less digits than its factorization.

48069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 48069056 is about 6933.1851266211. The cubic root of 48069056 is about 363.5983171103.

The spelling of 48069056 in words is "forty-eight million, sixty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2617 2624 4592 5234 9184 10468 18319 18368 20936 36638 41872 73276 83744 107297 146552 167488 214594 293104 429188 586208 751079 858376 1172416 1502158 1716752 3004316 3433504 6008632 6867008 12017264 24034528 48069056