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49979424 = 25311194753
BaseRepresentation
bin1011111010101…
…0000000100000
310111001012212210
42332222000200
5100243320144
64543122120
71144550415
oct276520040
9114035783
1049979424
1126237310
12148a3340
13a47bc31
1468d010c
1545c3ab9
hex2faa020

49979424 has 192 divisors, whose sum is σ = 156764160. Its totient is φ = 13777920.

The previous prime is 49979417. The next prime is 49979467. The reversal of 49979424 is 42497994.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942982 + ... + 943034.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 249979424 is an apocalyptic number.

49979424 is a gapful number since it is divisible by the number (44) 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 49979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

49979424 is an abundant number, since it is smaller than the sum of its proper divisors (106784736).

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

49979424 is a wasteful number, since it uses less digits than its factorization.

49979424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 49979424 is about 7069.6127192372. The cubic root of 49979424 is about 368.3526078423.

It can be divided in two parts, 49979 and 424, that added together give a triangular number (50403 = T317).

The spelling of 49979424 in words is "forty-nine million, nine hundred seventy-nine thousand, four hundred twenty-four".