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49187248 = 24112329419
BaseRepresentation
bin1011101110100…
…0100110110000
310102112222012221
42323220212300
5100042442443
64514130424
71135041025
oct273504660
9112488187
1049187248
1125846120
1214580a14
13a2624a6
14676554c
1544b8eed
hex2ee89b0

49187248 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 20599040.

The previous prime is 49187221. The next prime is 49187269. The reversal of 49187248 is 84278194.

49187248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 117183 + ... + 117601.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 249187248 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 49187248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

49187248 is an abundant number, since it is smaller than the sum of its proper divisors (63305552).

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

49187248 is a wasteful number, since it uses less digits than its factorization.

49187248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 49187248 is about 7013.3621038700. The cubic root of 49187248 is about 366.3960993845.

The spelling of 49187248 in words is "forty-nine million, one hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 58 88 92 116 176 184 232 253 319 368 419 464 506 638 667 838 1012 1276 1334 1676 2024 2552 2668 3352 4048 4609 5104 5336 6704 7337 9218 9637 10672 12151 14674 18436 19274 24302 29348 36872 38548 48604 58696 73744 77096 97208 106007 117392 133661 154192 194416 212014 267322 279473 424028 534644 558946 848056 1069288 1117892 1696112 2138576 2235784 3074203 4471568 6148406 12296812 24593624 49187248