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103898448 = 24323372141
BaseRepresentation
bin1100011000101…
…01110101010000
321020111120212200
412030111311100
5203044222243
614150523200
72401056633
oct614256520
9236446780
10103898448
1153714495
122a966500
13186aa094
14db27c1a
1591c4ad3
hex6315d50

103898448 has 60 divisors (see below), whose sum is σ = 291770388. Its totient is φ = 34513920.

The previous prime is 103898447. The next prime is 103898467. The reversal of 103898448 is 844898301.

It can be written as a sum of positive squares in 2 ways, for example, as 68757264 + 35141184 = 8292^2 + 5928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103898447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47458 + ... + 49598.

Almost surely, 2103898448 is an apocalyptic number.

103898448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103898448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145885194).

103898448 is an abundant number, since it is smaller than the sum of its proper divisors (187871940).

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

103898448 is a wasteful number, since it uses less digits than its factorization.

103898448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 103898448 is about 10193.0588147033. The cubic root of 103898448 is about 470.1138218370.

The spelling of 103898448 in words is "one hundred three million, eight hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2141 2696 3033 4044 4282 5392 6066 6423 8088 8564 12132 12846 16176 17128 19269 24264 25692 34256 38538 48528 51384 77076 102768 154152 308304 721517 1443034 2164551 2886068 4329102 5772136 6493653 8658204 11544272 12987306 17316408 25974612 34632816 51949224 103898448