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48345616 = 2411318861
BaseRepresentation
bin1011100001101…
…1001000010000
310100222012201101
42320123020100
544334024431
64444114144
71124634214
oct270331020
9110865641
1048345616
1125320860
1214235954
13a029397
1465c6944
15439e961
hex2e1b210

48345616 has 40 divisors (see below), whose sum is σ = 105493248. Its totient is φ = 21264000.

The previous prime is 48345613. The next prime is 48345653. The reversal of 48345616 is 61654384.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48345613) 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, 1026 + ... + 9886.

Almost surely, 248345616 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 48345616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52746624).

48345616 is an abundant number, since it is smaller than the sum of its proper divisors (57147632).

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

48345616 is a wasteful number, since it uses less digits than its factorization.

48345616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8905 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The square root of 48345616 is about 6953.1011786109. The cubic root of 48345616 is about 364.2942916492.

The spelling of 48345616 in words is "forty-eight million, three hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 8861 17722 35444 70888 97471 141776 194942 274691 389884 549382 779768 1098764 1559536 2197528 3021601 4395056 6043202 12086404 24172808 48345616