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49557040 = 24513172803
BaseRepresentation
bin1011110100001…
…0111000110000
310110020202110221
42331002320300
5100141311130
64530102424
71141141111
oct275027060
9113222427
1049557040
1125a78a35
121471aa14
13a3618c0
146820208
15453d87a
hex2f42e30

49557040 has 80 divisors (see below), whose sum is σ = 131429088. Its totient is φ = 17215488.

The previous prime is 49557031. The next prime is 49557041. The reversal of 49557040 is 4075594.

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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 49556987 and 49557005.

It is not an unprimeable number, because it can be changed into a prime (49557041) 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, 16279 + ... + 19081.

Almost surely, 249557040 is an apocalyptic number.

49557040 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 49557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65714544).

49557040 is an abundant number, since it is smaller than the sum of its proper divisors (81872048).

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

49557040 is a wasteful number, since it uses less digits than its factorization.

49557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 49557040 is about 7039.6761289139. The cubic root of 49557040 is about 367.3120021986.

The spelling of 49557040 in words is "forty-nine million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 2803 3536 4420 5606 8840 11212 14015 17680 22424 28030 36439 44848 47651 56060 72878 95302 112120 145756 182195 190604 224240 238255 291512 364390 381208 476510 583024 619463 728780 762416 953020 1238926 1457560 1906040 2477852 2915120 3097315 3812080 4955704 6194630 9911408 12389260 24778520 49557040