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49926240 = 25335713127
BaseRepresentation
bin1011111001110…
…1000001100000
310110221111221000
42332131001200
5100240114430
64542032000
71144236360
oct276350140
9113844830
1049926240
1126200361
1214878600
13a460970
1468b89a0
1545b2e60
hex2f9d060

49926240 has 384 divisors, whose sum is σ = 216760320. Its totient is φ = 10450944.

The previous prime is 49926223. The next prime is 49926259. The reversal of 49926240 is 4262994.

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

It is a junction number, because it is equal to n+sod(n) for n = 49926195 and 49926204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393057 + ... + 393183.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 249926240 is an apocalyptic number.

49926240 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 49926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

49926240 is an abundant number, since it is smaller than the sum of its proper divisors (166834080).

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

49926240 is a wasteful number, since it uses less digits than its factorization.

49926240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49926240 is about 7065.8502673068. The cubic root of 49926240 is about 368.2219046016.

The spelling of 49926240 in words is "forty-nine million, nine hundred twenty-six thousand, two hundred forty".