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48813504 = 263972621
BaseRepresentation
bin1011101000110…
…1010111000000
310101211222112120
42322031113000
544444013004
64502124240
71131623265
oct272152700
9111758476
1048813504
1125610343
1214420680
13a16133c
1466a926c
1544433d9
hex2e8d5c0

48813504 has 56 divisors (see below), whose sum is σ = 130533648. Its totient is φ = 16097280.

The previous prime is 48813503. The next prime is 48813509. The reversal of 48813504 is 40531884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48813503) 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, 17314 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (2330958).

Almost surely, 248813504 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 48813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65266824).

48813504 is an abundant number, since it is smaller than the sum of its proper divisors (81720144).

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

48813504 is a wasteful number, since it uses less digits than its factorization.

48813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48813504 is about 6986.6661577608. Note that the first 3 decimals coincide. The cubic root of 48813504 is about 365.4657318739.

It can be divided in two parts, 4881 and 3504, that added together give a triangular number (8385 = T129).

The spelling of 48813504 in words is "forty-eight million, eight hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 2621 3104 4656 5242 6208 7863 9312 10484 15726 18624 20968 31452 41936 62904 83872 125808 167744 251616 254237 503232 508474 762711 1016948 1525422 2033896 3050844 4067792 6101688 8135584 12203376 16271168 24406752 48813504