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49147392 = 29372653
BaseRepresentation
bin1011101101111…
…0111000000000
310102110221112210
42323132320000
5100040204032
64513222120
71134513600
oct273367000
9112427483
1049147392
1125819188
1214561940
13a24a2c8
146754c00
1544ac2cc
hex2edee00

49147392 has 120 divisors (see below), whose sum is σ = 152541576. Its totient is φ = 14020608.

The previous prime is 49147387. The next prime is 49147421. The reversal of 49147392 is 29374194.

49147392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×491473922 = 4830932280803328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49147392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74938 + ... + 75590.

Almost surely, 249147392 is an apocalyptic number.

49147392 is a gapful number since it is divisible by the number (42) 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 49147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76270788).

49147392 is an abundant number, since it is smaller than the sum of its proper divisors (103394184).

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

49147392 is an equidigital number, since it uses as much as digits as its factorization.

49147392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 665 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 49147392 is about 7010.5200948289. The cubic root of 49147392 is about 366.2971101169.

The spelling of 49147392 in words is "forty-nine million, one hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 653 672 768 784 896 1176 1306 1344 1536 1568 1792 1959 2352 2612 2688 3136 3584 3918 4571 4704 5224 5376 6272 7836 9142 9408 10448 10752 12544 13713 15672 18284 18816 20896 25088 27426 31344 31997 36568 37632 41792 54852 62688 63994 73136 75264 83584 95991 109704 125376 127988 146272 167168 191982 219408 250752 255976 292544 334336 383964 438816 501504 511952 585088 767928 877632 1003008 1023904 1170176 1535856 1755264 2047808 2340352 3071712 3510528 4095616 6143424 7021056 8191232 12286848 16382464 24573696 49147392