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49999440 = 24351811151
BaseRepresentation
bin1011111010111…
…0111001010000
310111002020100010
42332232321100
5100244440230
64543354520
71144662651
oct276567120
9114066303
1049999440
1126250357
12148b2a40
13a48808a
1468d7528
1545c99b0
hex2faee50

49999440 has 80 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 13248000.

The previous prime is 49999427. The next prime is 49999441. The reversal of 49999440 is 4499994.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49999440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49999441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42865 + ... + 44015.

Almost surely, 249999440 is an apocalyptic number.

49999440 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 49999440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

49999440 is an abundant number, since it is smaller than the sum of its proper divisors (105990576).

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

49999440 is a wasteful number, since it uses less digits than its factorization.

49999440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 49999440 is about 7071.0282137749. The cubic root of 49999440 is about 368.4017744871.

The spelling of 49999440 in words is "forty-nine million, nine hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1151 1448 1810 2172 2302 2715 2896 3453 3620 4344 4604 5430 5755 6906 7240 8688 9208 10860 11510 13812 14480 17265 18416 21720 23020 27624 34530 43440 46040 55248 69060 92080 138120 208331 276240 416662 624993 833324 1041655 1249986 1666648 2083310 2499972 3124965 3333296 4166620 4999944 6249930 8333240 9999888 12499860 16666480 24999720 49999440