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49474080 = 25325174347
BaseRepresentation
bin1011110010111…
…0101000100000
310110002112200100
42330232220200
5100131132310
64524222400
71140344205
oct274565040
9113075610
1049474080
1125a21677
121469aa00
13a332c06
1467dbcac
154523ec0
hex2f2ea20

49474080 has 288 divisors, whose sum is σ = 186810624. Its totient is φ = 11870208.

The previous prime is 49474057. The next prime is 49474091. The reversal of 49474080 is 8047494.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052617 + ... + 1052663.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 249474080 is an apocalyptic number.

49474080 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 49474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

49474080 is an abundant number, since it is smaller than the sum of its proper divisors (137336544).

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

49474080 is a wasteful number, since it uses less digits than its factorization.

49474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 49474080 is about 7033.7813443410. The cubic root of 49474080 is about 367.1069238798.

It can be divided in two parts, 4 and 9474080, that added together give a square (9474084 = 30782).

The spelling of 49474080 in words is "forty-nine million, four hundred seventy-four thousand, eighty".