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49770240 = 283513997
BaseRepresentation
bin1011110111011…
…0111100000000
310110122120221020
42331312330000
5100220121430
64534425440
71143016512
oct275667400
9113576836
1049770240
1126104133
1214802280
13a407960
146877bb2
154581b10
hex2f76f00

49770240 has 144 divisors (see below), whose sum is σ = 171352608. Its totient is φ = 12238848.

The previous prime is 49770223. The next prime is 49770241. The reversal of 49770240 is 4207794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49770241) 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, 49422 + ... + 50418.

Almost surely, 249770240 is an apocalyptic number.

49770240 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 49770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85676304).

49770240 is an abundant number, since it is smaller than the sum of its proper divisors (121582368).

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

49770240 is a wasteful number, since it uses less digits than its factorization.

49770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 49770240 is about 7054.8026194926. The cubic root of 49770240 is about 367.8379879159.

The spelling of 49770240 in words is "forty-nine million, seven hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 997 1040 1248 1280 1560 1664 1920 1994 2080 2496 2991 3120 3328 3840 3988 4160 4985 4992 5982 6240 7976 8320 9970 9984 11964 12480 12961 14955 15952 16640 19940 23928 24960 25922 29910 31904 38883 39880 47856 49920 51844 59820 63808 64805 77766 79760 95712 103688 119640 127616 129610 155532 159520 191424 194415 207376 239280 255232 259220 311064 319040 382848 388830 414752 478560 518440 622128 638080 765696 777660 829504 957120 1036880 1244256 1276160 1555320 1659008 1914240 2073760 2488512 3110640 3318016 3828480 4147520 4977024 6221280 8295040 9954048 12442560 16590080 24885120 49770240