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49297920 = 293572131
BaseRepresentation
bin1011110000001…
…1101000000000
310102202121000220
42330003220000
5100110013140
64520343040
71136011500
oct274035000
9112677026
1049297920
1125911291
1214614a80
13a2a0989
146793a00
1544dbbd0
hex2f03a00

49297920 has 240 divisors, whose sum is σ = 184729248. Its totient is φ = 11182080.

The previous prime is 49297903. The next prime is 49297931. The reversal of 49297920 is 2979294.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376255 + ... + 376385.

Almost surely, 249297920 is an apocalyptic number.

49297920 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 49297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92364624).

49297920 is an abundant number, since it is smaller than the sum of its proper divisors (135431328).

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

49297920 is a wasteful number, since it uses less digits than its factorization.

49297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 49297920 is about 7021.2477523586. The cubic root of 49297920 is about 366.6706923341.

The spelling of 49297920 in words is "forty-nine million, two hundred ninety-seven thousand, nine hundred twenty".