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48501414 = 232131910909
BaseRepresentation
bin1011100100000…
…1001010100110
310101021010102200
42321001022212
544404021124
64451315330
71126153353
oct271011246
9111233380
1048501414
1125417915
12142abb46
13a082280
14662762a
1543d0bc9
hex2e412a6

48501414 has 48 divisors (see below), whose sum is σ = 119137200. Its totient is φ = 14136768.

The previous prime is 48501407. The next prime is 48501421. The reversal of 48501414 is 41410584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48501407) and next prime (48501421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009 + ... + 9900.

It is an arithmetic number, because the mean of its divisors is an integer number (2482025).

Almost surely, 248501414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48501414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59568600).

48501414 is an abundant number, since it is smaller than the sum of its proper divisors (70635786).

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

48501414 is a wasteful number, since it uses less digits than its factorization.

48501414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48501414 is about 6964.2956571358. The cubic root of 48501414 is about 364.6851955080.

Adding to 48501414 its reverse (41410584), we get a palindrome (89911998).

The spelling of 48501414 in words is "forty-eight million, five hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 10909 21818 32727 65454 98181 141817 196362 207271 283634 414542 425451 621813 850902 1243626 1276353 1865439 2552706 2694523 3730878 5389046 8083569 16167138 24250707 48501414