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49940256 = 2533197173
BaseRepresentation
bin1011111010000…
…0011100100000
310110222020011010
42332200130200
5100241042011
64542220520
71144325262
oct276403440
9113866133
1049940256
112620a943
1214884740
13a467162
1468bdb32
1545b71a6
hex2fa0720

49940256 has 96 divisors (see below), whose sum is σ = 137507328. Its totient is φ = 15851520.

The previous prime is 49940239. The next prime is 49940279. The reversal of 49940256 is 65204994.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288586 + ... + 288758.

It is an arithmetic number, because the mean of its divisors is an integer number (1432368).

Almost surely, 249940256 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 49940256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68753664).

49940256 is an abundant number, since it is smaller than the sum of its proper divisors (87567072).

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

49940256 is a wasteful number, since it uses less digits than its factorization.

49940256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 49940256 is about 7066.8420104032. The cubic root of 49940256 is about 368.2563588641.

It can be divided in two parts, 499 and 40256, that added together give a triangular number (40755 = T285).

The spelling of 49940256 in words is "forty-nine million, nine hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 97 124 173 186 194 248 291 346 372 388 496 519 582 692 744 776 992 1038 1164 1384 1488 1552 2076 2328 2768 2976 3007 3104 4152 4656 5363 5536 6014 8304 9021 9312 10726 12028 16089 16608 16781 18042 21452 24056 32178 33562 36084 42904 48112 50343 64356 67124 72168 85808 96224 100686 128712 134248 144336 171616 201372 257424 268496 288672 402744 514848 520211 536992 805488 1040422 1560633 1610976 2080844 3121266 4161688 6242532 8323376 12485064 16646752 24970128 49940256