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49999248 = 24331329307
BaseRepresentation
bin1011111010111…
…0110110010000
310111002020002000
42332232312100
5100244433443
64543354000
71144662255
oct276566620
9114066060
1049999248
11262501a2
12148b2900
13a487c70
1468d742c
1545c98d3
hex2faed90

49999248 has 160 divisors (see below), whose sum is σ = 160406400. Its totient is φ = 14805504.

The previous prime is 49999231. The next prime is 49999253. The reversal of 49999248 is 84299994.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 49999194 and 49999203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162711 + ... + 163017.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 249999248 is an apocalyptic number.

49999248 is a gapful number since it is divisible by the number (48) 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 49999248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203200).

49999248 is an abundant number, since it is smaller than the sum of its proper divisors (110407152).

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

49999248 is a wasteful number, since it uses less digits than its factorization.

49999248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 49999248 is about 7071.0146372356. The cubic root of 49999248 is about 368.4013029270.

The spelling of 49999248 in words is "forty-nine million, nine hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 307 312 348 351 377 432 464 468 522 614 624 696 702 754 783 921 936 1044 1131 1228 1392 1404 1508 1566 1842 1872 2088 2262 2456 2763 2808 3016 3132 3393 3684 3991 4176 4524 4912 5526 5616 6032 6264 6786 7368 7982 8289 8903 9048 10179 11052 11973 12528 13572 14736 15964 16578 17806 18096 20358 22104 23946 26709 27144 31928 33156 35612 35919 40716 44208 47892 53418 54288 63856 66312 71224 71838 80127 81432 95784 106836 107757 115739 132624 142448 143676 160254 162864 191568 213672 215514 231478 240381 287352 320508 347217 427344 431028 462956 480762 574704 641016 694434 862056 925912 961524 1041651 1282032 1388868 1724112 1851824 1923048 2083302 2777736 3124953 3846096 4166604 5555472 6249906 8333208 12499812 16666416 24999624 49999248