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48100240 = 2451015953
BaseRepresentation
bin1011011101111…
…1001110010000
310100111202010101
42313133032100
544303201430
64434542144
71122562636
oct267371620
9110452111
1048100240
1125173471
1214137954
139c717a6
146561356
154351dca
hex2ddf390

48100240 has 40 divisors (see below), whose sum is σ = 112959288. Its totient is φ = 19046400.

The previous prime is 48100237. The next prime is 48100249. The reversal of 48100240 is 4200184.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 44729344 = 1836^2 + 6688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×481002403 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48100249) 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, 5104 + ... + 11056.

Almost surely, 248100240 is an apocalyptic number.

48100240 is a gapful number since it is divisible by the number (40) 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 48100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56479644).

48100240 is an abundant number, since it is smaller than the sum of its proper divisors (64859048).

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

48100240 is a wasteful number, since it uses less digits than its factorization.

48100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 48100240 is about 6935.4336562323. The cubic root of 48100240 is about 363.6769262328.

The spelling of 48100240 in words is "forty-eight million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 5953 8080 11906 23812 29765 47624 59530 95248 119060 238120 476240 601253 1202506 2405012 3006265 4810024 6012530 9620048 12025060 24050120 48100240