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48517216 = 2511337409
BaseRepresentation
bin1011100100010…
…1000001100000
310101021221002221
42321011001200
544410022331
64451520424
71126250416
oct271050140
9111257087
1048517216
1125428780
12142b9114
13a089517
14662d2b6
1543d5711
hex2e45060

48517216 has 48 divisors (see below), whose sum is σ = 104766480. Its totient is φ = 21934080.

The previous prime is 48517199. The next prime is 48517219. The reversal of 48517216 is 61271584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48517219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118420 + ... + 118828.

It is an arithmetic number, because the mean of its divisors is an integer number (2182635).

Almost surely, 248517216 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 48517216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52383240).

48517216 is an abundant number, since it is smaller than the sum of its proper divisors (56249264).

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

48517216 is a wasteful number, since it uses less digits than its factorization.

48517216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 48517216 is about 6965.4300656887. The cubic root of 48517216 is about 364.7247966196.

The spelling of 48517216 in words is "forty-eight million, five hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 337 352 409 674 818 1348 1636 2696 3272 3707 4499 5392 6544 7414 8998 10784 13088 14828 17996 29656 35992 59312 71984 118624 137833 143968 275666 551332 1102664 1516163 2205328 3032326 4410656 6064652 12129304 24258608 48517216