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49913472 = 273731599
BaseRepresentation
bin1011111001100…
…1111010000000
310110220212102010
42332121322000
5100234212342
64541452520
71144154220
oct276317200
9113825363
1049913472
11261a1804
1214871140
13a457bcb
1468b4080
1545ae29c
hex2f99e80

49913472 has 128 divisors (see below), whose sum is σ = 156672000. Its totient is φ = 13777920.

The previous prime is 49913471. The next prime is 49913509. The reversal of 49913472 is 27431994.

49913472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49913472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49913471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83029 + ... + 83627.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 249913472 is an apocalyptic number.

49913472 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 49913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78336000).

49913472 is an abundant number, since it is smaller than the sum of its proper divisors (106758528).

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

49913472 is a wasteful number, since it uses less digits than its factorization.

49913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

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

The square root of 49913472 is about 7064.9467089285. The cubic root of 49913472 is about 368.1905125713.

The spelling of 49913472 in words is "forty-nine million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 599 651 672 744 868 896 992 1198 1302 1344 1488 1736 1797 1984 2396 2604 2688 2976 3472 3594 3968 4193 4792 5208 5952 6944 7188 8386 9584 10416 11904 12579 13888 14376 16772 18569 19168 20832 25158 27776 28752 33544 37138 38336 41664 50316 55707 57504 67088 74276 76672 83328 100632 111414 115008 129983 134176 148552 201264 222828 230016 259966 268352 297104 389949 402528 445656 519932 536704 594208 779898 805056 891312 1039864 1188416 1559796 1610112 1782624 2079728 2376832 3119592 3565248 4159456 6239184 7130496 8318912 12478368 16637824 24956736 49913472