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48349280 = 25573881
BaseRepresentation
bin1011100001110…
…0000001100000
310100222101202002
42320130001200
544334134110
64444143132
71124651000
oct270340140
9110871662
1048349280
1125323591
1214237aa8
13a02ac55
1465c8000
1543a0aa5
hex2e1c060

48349280 has 96 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 16558080.

The previous prime is 48349247. The next prime is 48349283. The reversal of 48349280 is 8294384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48349283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54440 + ... + 55320.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 248349280 is an apocalyptic number.

48349280 is a gapful number since it is divisible by the number (40) 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 48349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

48349280 is an abundant number, since it is smaller than the sum of its proper divisors (85009120).

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

48349280 is an equidigital number, since it uses as much as digits as its factorization.

48349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 48349280 is about 6953.3646531733. The cubic root of 48349280 is about 364.3034944179.

The spelling of 48349280 in words is "forty-eight million, three hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 881 980 1120 1372 1568 1715 1762 1960 2744 3430 3524 3920 4405 5488 6167 6860 7048 7840 8810 10976 12334 13720 14096 17620 24668 27440 28192 30835 35240 43169 49336 54880 61670 70480 86338 98672 123340 140960 172676 197344 215845 246680 302183 345352 431690 493360 604366 690704 863380 986720 1208732 1381408 1510915 1726760 2417464 3021830 3453520 4834928 6043660 6907040 9669856 12087320 24174640 48349280