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49999392 = 25321271367
BaseRepresentation
bin1011111010111…
…0111000100000
310111002020021100
42332232320200
5100244440032
64543354400
71144662552
oct276567040
9114066240
1049999392
1126250313
12148b2a00
13a488051
1468d74d2
1545c997c
hex2faee20

49999392 has 72 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 16523136.

The previous prime is 49999387. The next prime is 49999403. The reversal of 49999392 is 29399994.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35893 + ... + 37259.

It is an arithmetic number, because the mean of its divisors is an integer number (1991808).

Almost surely, 249999392 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 49999392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705088).

49999392 is an abundant number, since it is smaller than the sum of its proper divisors (93410784).

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

49999392 is a wasteful number, since it uses less digits than its factorization.

49999392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 49999392 is about 7071.0248196425. The cubic root of 49999392 is about 368.4016565972.

The spelling of 49999392 in words is "forty-nine million, nine hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1367 1524 2032 2286 2734 3048 4064 4101 4572 5468 6096 8202 9144 10936 12192 12303 16404 18288 21872 24606 32808 36576 43744 49212 65616 98424 131232 173609 196848 347218 393696 520827 694436 1041654 1388872 1562481 2083308 2777744 3124962 4166616 5555488 6249924 8333232 12499848 16666464 24999696 49999392