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13888848 = 2431997157
BaseRepresentation
bin110100111110…
…110101010000
3222010121220210
4310332311100
512023420343
61213404120
7226024161
oct64766520
928117823
1013888848
117926996
124799640
132b5396c
141bb7768
151345333
hexd3ed50

13888848 has 80 divisors (see below), whose sum is σ = 38400320. Its totient is φ = 4313088.

The previous prime is 13888843. The next prime is 13888879. The reversal of 13888848 is 84888831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13888797 and 13888806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88386 + ... + 88542.

It is an arithmetic number, because the mean of its divisors is an integer number (480004).

Almost surely, 213888848 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 13888848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200160).

13888848 is an abundant number, since it is smaller than the sum of its proper divisors (24511472).

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

13888848 is a wasteful number, since it uses less digits than its factorization.

13888848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 13888848 is about 3726.7744766755. The cubic root of 13888848 is about 240.3746924964.

The spelling of 13888848 in words is "thirteen million, eight hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 157 194 228 291 304 314 388 456 471 582 628 776 912 942 1164 1256 1552 1843 1884 2328 2512 2983 3686 3768 4656 5529 5966 7372 7536 8949 11058 11932 14744 15229 17898 22116 23864 29488 30458 35796 44232 45687 47728 60916 71592 88464 91374 121832 143184 182748 243664 289351 365496 578702 730992 868053 1157404 1736106 2314808 3472212 4629616 6944424 13888848