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48004992 = 273275953
BaseRepresentation
bin1011011100011…
…1111110000000
310100022220110200
42313013332000
544242124432
64432525200
71122015150
oct267077600
9110286420
1048004992
1125108952
12140b0800
139c3a329
146538760
154333a7c
hex2dc7f80

48004992 has 96 divisors (see below), whose sum is σ = 157900080. Its totient is φ = 13713408.

The previous prime is 48004981. The next prime is 48005011. The reversal of 48004992 is 29940084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5088 + ... + 11040.

Almost surely, 248004992 is an apocalyptic number.

48004992 is a gapful number since it is divisible by the number (42) 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 48004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78950040).

48004992 is an abundant number, since it is smaller than the sum of its proper divisors (109895088).

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

48004992 is a wasteful number, since it uses less digits than its factorization.

48004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48004992 is about 6928.5634874770. The cubic root of 48004992 is about 363.4367168325.

The spelling of 48004992 in words is "forty-eight million, four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 5953 8064 11906 17859 23812 35718 41671 47624 53577 71436 83342 95248 107154 125013 142872 166684 190496 214308 250026 285744 333368 375039 380992 428616 500052 571488 666736 750078 761984 857232 1000104 1142976 1333472 1500156 1714464 2000208 2285952 2666944 3000312 3428928 4000416 5333888 6000624 6857856 8000832 12001248 16001664 24002496 48004992