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47929808 = 2429531949
BaseRepresentation
bin1011011011010…
…1100111010000
310100012002100002
42312311213100
544232223213
64431145132
71121253023
oct266654720
9110162302
1047929808
1125067413
12140751a8
139c12044
1465191ba
15431b658
hex2db59d0

47929808 has 40 divisors (see below), whose sum is σ = 97929000. Its totient is φ = 22690304.

The previous prime is 47929753. The next prime is 47929811. The reversal of 47929808 is 80892974.

It can be written as a sum of positive squares in 4 ways, for example, as 19114384 + 28815424 = 4372^2 + 5368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23618 + ... + 25566.

It is an arithmetic number, because the mean of its divisors is an integer number (2448225).

Almost surely, 247929808 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 47929808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48964500).

47929808 is an abundant number, since it is smaller than the sum of its proper divisors (49999192).

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

47929808 is a wasteful number, since it uses less digits than its factorization.

47929808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 47929808 is about 6923.1357057333. The cubic root of 47929808 is about 363.2468830783.

The spelling of 47929808 in words is "forty-seven million, nine hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 1949 3074 3898 6148 7796 12296 15592 24592 31184 56521 103297 113042 206594 226084 413188 452168 826376 904336 1652752 2995613 5991226 11982452 23964904 47929808