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49916496 = 24372191117
BaseRepresentation
bin1011111001101…
…0101001010000
310110221000120010
42332122221100
5100234311441
64541514520
71144166100
oct276325120
9113830503
1049916496
11261a4003
1214872a40
13a4593b6
1468b5200
1545b0116
hex2f9aa50

49916496 has 120 divisors (see below), whose sum is σ = 158040480. Its totient is φ = 13499136.

The previous prime is 49916473. The next prime is 49916497. The reversal of 49916496 is 69461994.

49916496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49916497) 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 23 ways as a sum of consecutive naturals, for example, 44130 + ... + 45246.

It is an arithmetic number, because the mean of its divisors is an integer number (1317004).

Almost surely, 249916496 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 49916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79020240).

49916496 is an abundant number, since it is smaller than the sum of its proper divisors (108123984).

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

49916496 is a wasteful number, since it uses less digits than its factorization.

49916496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1148 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 49916496 is about 7065.1607200403. The cubic root of 49916496 is about 368.1979480096.

The spelling of 49916496 in words is "forty-nine million, nine hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1117 1176 1596 1862 2128 2234 2352 2793 3192 3351 3724 4468 5586 6384 6702 7448 7819 8936 11172 13404 14896 15638 17872 21223 22344 23457 26808 31276 42446 44688 46914 53616 54733 62552 63669 84892 93828 109466 125104 127338 148561 164199 169784 187656 218932 254676 297122 328398 339568 375312 437864 445683 509352 594244 656796 875728 891366 1018704 1039927 1188488 1313592 1782732 2079854 2376976 2627184 3119781 3565464 4159708 6239562 7130928 8319416 12479124 16638832 24958248 49916496