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48492960 = 2535101027
BaseRepresentation
bin1011100011111…
…1000110100000
310101020200211120
42320333012200
544403233320
64451212240
71126116615
oct270770640
9111220746
1048492960
112541152a
12142a7080
13a07b479
14662450c
1543cd440
hex2e3f1a0

48492960 has 48 divisors (see below), whose sum is σ = 152754336. Its totient is φ = 12931328.

The previous prime is 48492953. The next prime is 48492967. The reversal of 48492960 is 6929484.

48492960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48492953) and next prime (48492967).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (48492967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50034 + ... + 50993.

It is an arithmetic number, because the mean of its divisors is an integer number (3182382).

Almost surely, 248492960 is an apocalyptic number.

48492960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48492960 is an abundant number, since it is smaller than the sum of its proper divisors (104261376).

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

48492960 is a wasteful number, since it uses less digits than its factorization.

48492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101045 (or 101037 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 48492960 is about 6963.6886777052. The cubic root of 48492960 is about 364.6640055568.

The spelling of 48492960 in words is "forty-eight million, four hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 101027 202054 303081 404108 505135 606162 808216 1010270 1212324 1515405 1616432 2020540 2424648 3030810 3232864 4041080 4849296 6061620 8082160 9698592 12123240 16164320 24246480 48492960