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49976460 = 22335194871
BaseRepresentation
bin1011111010100…
…1010010001100
310111001001211000
42332221102030
5100243221320
64543100300
71144535652
oct276512214
9114031730
1049976460
1126235066
12148a1690
13a47a791
1468ccdd2
1545c2c90
hex2fa948c

49976460 has 96 divisors (see below), whose sum is σ = 163699200. Its totient is φ = 12623040.

The previous prime is 49976431. The next prime is 49976461. The reversal of 49976460 is 6467994.

49976460 = T311 + T312 + ... + T690.

49976460 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 (45).

It is not an unprimeable number, because it can be changed into a prime (49976461) 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 31 ways as a sum of consecutive naturals, for example, 7825 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 249976460 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 49976460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81849600).

49976460 is an abundant number, since it is smaller than the sum of its proper divisors (113722740).

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

49976460 is a wasteful number, since it uses less digits than its factorization.

49976460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 49976460 is about 7069.4030865413. The cubic root of 49976460 is about 368.3453260543.

The spelling of 49976460 in words is "forty-nine million, nine hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 4871 5130 9742 10260 14613 19484 24355 29226 43839 48710 58452 73065 87678 92549 97420 131517 146130 175356 185098 219195 263034 277647 292260 370196 438390 462745 526068 555294 657585 832941 876780 925490 1110588 1315170 1388235 1665882 1850980 2498823 2630340 2776470 3331764 4164705 4997646 5552940 8329410 9995292 12494115 16658820 24988230 49976460