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49360192 = 267239461
BaseRepresentation
bin1011110001001…
…0110101000000
310102212202110021
42330102311000
5100114011232
64521543224
71136361160
oct274226500
9112782407
1049360192
1125954052
1214644b14
13a2c311b
1467ac5a0
154500397
hex2f12d40

49360192 has 56 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 21020160.

The previous prime is 49360189. The next prime is 49360193. The reversal of 49360192 is 29106394.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49360193) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106842 + ... + 107302.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 249360192 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 49360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

49360192 is an abundant number, since it is smaller than the sum of its proper divisors (63293888).

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

49360192 is a wasteful number, since it uses less digits than its factorization.

49360192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 49360192 is about 7025.6808922694. The cubic root of 49360192 is about 366.8250173707.

The spelling of 49360192 in words is "forty-nine million, three hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 239 448 461 478 922 956 1673 1844 1912 3227 3346 3688 3824 6454 6692 7376 7648 12908 13384 14752 15296 25816 26768 29504 51632 53536 103264 107072 110179 206528 220358 440716 771253 881432 1542506 1762864 3085012 3525728 6170024 7051456 12340048 24680096 49360192