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48266496 = 28336983
BaseRepresentation
bin1011100000011…
…1110100000000
310100211012012000
42320013310000
544324011441
64442304000
71124154435
oct270076400
9110735160
1048266496
1125277373
12141b8000
139ccc375
1465a5b8c
1543862b6
hex2e07d00

48266496 has 72 divisors (see below), whose sum is σ = 142752960. Its totient is φ = 16086528.

The previous prime is 48266467. The next prime is 48266497. The reversal of 48266496 is 69466284.

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

It is a super-2 number, since 2×482664962 = 4659309272236032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48266497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3421 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (1982680).

Almost surely, 248266496 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 48266496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71376480).

48266496 is an abundant number, since it is smaller than the sum of its proper divisors (94486464).

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

48266496 is an equidigital number, since it uses as much as digits as its factorization.

48266496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6988 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 48266496 is about 6947.4093013151. The cubic root of 48266496 is about 364.0954545780.

The spelling of 48266496 in words is "forty-eight million, two hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 6983 13966 20949 27932 41898 55864 62847 83796 111728 125694 167592 188541 223456 251388 335184 377082 446912 502776 670368 754164 893824 1005552 1340736 1508328 1787648 2011104 2681472 3016656 4022208 5362944 6033312 8044416 12066624 16088832 24133248 48266496