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49238640 = 24325116217
BaseRepresentation
bin1011101111010…
…1001001110000
310102122120201100
42323311021300
5100101114030
64515204400
71135343613
oct273651160
9112576640
1049238640
11258807a0
12145a6700
13a27c9b9
14677a17a
1544c9360
hex2ef5270

49238640 has 120 divisors (see below), whose sum is σ = 180421488. Its totient is φ = 11934720.

The previous prime is 49238621. The next prime is 49238669. The reversal of 49238640 is 4683294.

It is a happy number.

49238640 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 8 + 640 = 666.

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 = 49238595 and 49238604.

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, 4812 + ... + 11028.

Almost surely, 249238640 is an apocalyptic number.

49238640 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 49238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90210744).

49238640 is an abundant number, since it is smaller than the sum of its proper divisors (131182848).

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

49238640 is a wasteful number, since it uses less digits than its factorization.

49238640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6238 counting only the distinct ones).

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

The square root of 49238640 is about 7017.0250106438. The cubic root of 49238640 is about 366.5236614049.

The spelling of 49238640 in words is "forty-nine million, two hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 6217 7920 12434 18651 24868 31085 37302 49736 55953 62170 68387 74604 93255 99472 111906 124340 136774 149208 186510 205161 223812 248680 273548 279765 298416 341935 373020 410322 447624 497360 547096 559530 615483 683870 746040 820644 895248 1025805 1094192 1119060 1230966 1367740 1492080 1641288 2051610 2238120 2461932 2735480 3077415 3282576 4103220 4476240 4923864 5470960 6154830 8206440 9847728 12309660 16412880 24619320 49238640