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100012448 = 2531412459
BaseRepresentation
bin1011111011000…
…01000110100000
320222012011021202
411331201012200
5201100344243
613531340332
72323043324
oct575410640
9228164252
10100012448
11514aa918
12295b16a8
1317949383
14d3d5984
158ba84b8
hex5f611a0

100012448 has 48 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 47193600.

The previous prime is 100012421. The next prime is 100012457. The reversal of 100012448 is 844210001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39443 + ... + 41901.

It is an arithmetic number, because the mean of its divisors is an integer number (4339440).

Almost surely, 2100012448 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 100012448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

100012448 is an abundant number, since it is smaller than the sum of its proper divisors (108280672).

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

100012448 is a wasteful number, since it uses less digits than its factorization.

100012448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 100012448 is about 10000.6223806321. The cubic root of 100012448 is about 464.1781420615.

Adding to 100012448 its reverse (844210001), we get a palindrome (944222449).

The spelling of 100012448 in words is "one hundred million, twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2459 2542 4918 5084 9836 10168 19672 20336 39344 40672 76229 78688 100819 152458 201638 304916 403276 609832 806552 1219664 1613104 2439328 3125389 3226208 6250778 12501556 25003112 50006224 100012448