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103936848 = 24337431361
BaseRepresentation
bin1100011000111…
…11001101010000
321020120112112220
412030133031100
5203101434343
614151421040
72401306611
oct614371520
9236515486
10103936848
1153740324
122a984780
13186c16c2
14db37c08
1591d1183
hex631f350

103936848 has 80 divisors (see below), whose sum is σ = 282380736. Its totient is φ = 32901120.

The previous prime is 103936837. The next prime is 103936867. The reversal of 103936848 is 848639301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 75688 + ... + 77048.

Almost surely, 2103936848 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 103936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141190368).

103936848 is an abundant number, since it is smaller than the sum of its proper divisors (178443888).

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

103936848 is a wasteful number, since it uses less digits than its factorization.

103936848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 103936848 is about 10194.9422754619. The cubic root of 103936848 is about 470.1717314194.

The spelling of 103936848 in words is "one hundred three million, nine hundred thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1361 1591 1776 2064 2722 3182 4083 4773 5444 6364 8166 9546 10888 12728 16332 19092 21776 25456 32664 38184 50357 58523 65328 76368 100714 117046 151071 175569 201428 234092 302142 351138 402856 468184 604284 702276 805712 936368 1208568 1404552 2165351 2417136 2809104 4330702 6496053 8661404 12992106 17322808 25984212 34645616 51968424 103936848