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49944240 = 2432571977
BaseRepresentation
bin1011111010000…
…1011010110000
310110222102121200
42332201122300
5100241203430
64542251200
71144343013
oct276413260
9113872550
1049944240
1126212935
1214886b00
13a468c08
1468c137a
1545b8460
hex2fa16b0

49944240 has 120 divisors (see below), whose sum is σ = 170265888. Its totient is φ = 13117440.

The previous prime is 49944227. The next prime is 49944253. The reversal of 49944240 is 4244994.

It is a happy number.

49944240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49944227) and next prime (49944253).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 49944195 and 49944204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50632 + ... + 51608.

Almost surely, 249944240 is an apocalyptic number.

49944240 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 49944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85132944).

49944240 is an abundant number, since it is smaller than the sum of its proper divisors (120321648).

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

49944240 is a wasteful number, since it uses less digits than its factorization.

49944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49944240 is about 7067.1238845799. The cubic root of 49944240 is about 368.2661511935.

The spelling of 49944240 in words is "forty-nine million, nine hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 977 1065 1136 1278 1420 1704 1954 2130 2556 2840 2931 3195 3408 3908 4260 4885 5112 5680 5862 6390 7816 8520 8793 9770 10224 11724 12780 14655 15632 17040 17586 19540 23448 25560 29310 35172 39080 43965 46896 51120 58620 69367 70344 78160 87930 117240 138734 140688 175860 208101 234480 277468 346835 351720 416202 554936 624303 693670 703440 832404 1040505 1109872 1248606 1387340 1664808 2081010 2497212 2774680 3121515 3329616 4162020 4994424 5549360 6243030 8324040 9988848 12486060 16648080 24972120 49944240