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8401248 = 253231941
BaseRepresentation
bin100000000011…
…000101100000
3120210211100100
4200003011200
54122314443
6500022400
7131260302
oct40030540
916724310
108401248
114818a89
122991a00
131981c6b
141189972
15b0e3d3
hex803160

8401248 has 72 divisors (see below), whose sum is σ = 24687936. Its totient is φ = 2707200.

The previous prime is 8401243. The next prime is 8401259. The reversal of 8401248 is 8421048.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8401241) 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, 8458 + ... + 9398.

It is an arithmetic number, because the mean of its divisors is an integer number (342888).

Almost surely, 28401248 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 8401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343968).

8401248 is an abundant number, since it is smaller than the sum of its proper divisors (16286688).

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

8401248 is a wasteful number, since it uses less digits than its factorization.

8401248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8401248 is about 2898.4906416961. The cubic root of 8401248 is about 203.2893380284.

It can be divided in two parts, 8401 and 248, that added together give a square (8649 = 932).

The spelling of 8401248 in words is "eight million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 941 992 1116 1488 1882 2232 2823 2976 3764 4464 5646 7528 8469 8928 11292 15056 16938 22584 29171 30112 33876 45168 58342 67752 87513 90336 116684 135504 175026 233368 262539 271008 350052 466736 525078 700104 933472 1050156 1400208 2100312 2800416 4200624 8401248