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49378560 = 2835711167
BaseRepresentation
bin1011110001011…
…1010100000000
310102220200122120
42330113110000
5100120103220
64522204240
71136465550
oct274272400
9112820576
1049378560
1125966930
1214653680
13a2cb5aa
1467b5160
154505a40
hex2f17500

49378560 has 288 divisors, whose sum is σ = 197793792. Its totient is φ = 10199040.

The previous prime is 49378547. The next prime is 49378573. The reversal of 49378560 is 6587394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49378547) and next prime (49378573).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295597 + ... + 295763.

It is an arithmetic number, because the mean of its divisors is an integer number (686784).

Almost surely, 249378560 is an apocalyptic number.

49378560 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 49378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98896896).

49378560 is an abundant number, since it is smaller than the sum of its proper divisors (148415232).

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

49378560 is a wasteful number, since it uses less digits than its factorization.

49378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 49378560 is about 7026.9879749435. The cubic root of 49378560 is about 366.8705129145.

The spelling of 49378560 in words is "forty-nine million, three hundred seventy-eight thousand, five hundred sixty".