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101248048 = 24112983239
BaseRepresentation
bin1100000100011…
…10110000110000
321001111221012201
412002032300300
5201404414143
614014032544
72336410546
oct602166060
9231457181
10101248048
1152174180
1229aa8754
1317c8c8b5
14d637d96
158d4e64d
hex608ec30

101248048 has 80 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 43715840.

The previous prime is 101248031. The next prime is 101248051. The reversal of 101248048 is 840842101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423513 + ... + 423751.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2101248048 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 101248048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

101248048 is an abundant number, since it is smaller than the sum of its proper divisors (123737552).

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

101248048 is a wasteful number, since it uses less digits than its factorization.

101248048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 101248048 is about 10062.2089026217. The cubic root of 101248048 is about 466.0818806551.

The spelling of 101248048 in words is "one hundred one million, two hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 29 44 58 83 88 116 166 176 232 239 319 332 464 478 638 664 913 956 1276 1328 1826 1912 2407 2552 2629 3652 3824 4814 5104 5258 6931 7304 9628 10516 13862 14608 19256 19837 21032 26477 27724 38512 39674 42064 52954 55448 76241 79348 105908 110896 152482 158696 211816 218207 304964 317392 423632 436414 575273 609928 872828 1150546 1219856 1745656 2301092 3491312 4602184 6328003 9204368 12656006 25312012 50624024 101248048