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49250432 = 2771119263
BaseRepresentation
bin1011101111100…
…0000010000000
310102200011220002
42323320002000
5100102003212
64515335132
71135423160
oct273700200
9112604802
1049250432
1125889640
12145b14a8
13a28518a
1467805a0
1544ccac2
hex2ef8080

49250432 has 128 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 18109440.

The previous prime is 49250431. The next prime is 49250459. The reversal of 49250432 is 23405294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 49250395 and 49250404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49250431) 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, 187133 + ... + 187395.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 249250432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

49250432 is an abundant number, since it is smaller than the sum of its proper divisors (80003968).

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

49250432 is a wasteful number, since it uses less digits than its factorization.

49250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 49250432 is about 7017.8652024672. The cubic root of 49250432 is about 366.5529182516.

The spelling of 49250432 in words is "forty-nine million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 263 266 304 308 352 418 448 526 532 608 616 704 836 896 1052 1064 1216 1232 1408 1463 1672 1841 2104 2128 2432 2464 2893 2926 3344 3682 4208 4256 4928 4997 5786 5852 6688 7364 8416 8512 9856 9994 11572 11704 13376 14728 16832 17024 19988 20251 23144 23408 26752 29456 33664 34979 39976 40502 46288 46816 54967 58912 69958 79952 81004 92576 93632 109934 117824 139916 159904 162008 185152 187264 219868 235648 279832 319808 324016 370304 384769 439736 559664 639616 648032 769538 879472 1119328 1296064 1539076 1758944 2238656 2592128 3078152 3517888 4477312 6156304 7035776 12312608 24625216 49250432