Search a number
-
+
49957740 = 223257311279
BaseRepresentation
bin1011111010010…
…0101101101100
310111000010010200
42332210231230
5100242121430
64542433500
71144430250
oct276445554
9114003120
1049957740
1126221a98
1214892890
13a4720c1
1468c6260
1545bc460
hex2fa4b6c

49957740 has 144 divisors (see below), whose sum is σ = 178913280. Its totient is φ = 11041920.

The previous prime is 49957723. The next prime is 49957753. The reversal of 49957740 is 4775994.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38421 + ... + 39699.

Almost surely, 249957740 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 49957740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89456640).

49957740 is an abundant number, since it is smaller than the sum of its proper divisors (128955540).

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

49957740 is a wasteful number, since it uses less digits than its factorization.

49957740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 49957740 is about 7068.0789469275. The cubic root of 49957740 is about 368.2993291614.

The spelling of 49957740 in words is "forty-nine million, nine hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1279 1302 1395 1860 1953 2170 2558 2604 2790 3255 3837 3906 4340 5116 5580 6395 6510 7674 7812 8953 9765 11511 12790 13020 15348 17906 19185 19530 23022 25580 26859 35812 38370 39060 39649 44765 46044 53718 57555 76740 79298 80577 89530 107436 115110 118947 134295 158596 161154 179060 198245 230220 237894 268590 277543 322308 356841 396490 402885 475788 537180 555086 594735 713682 792980 805770 832629 1110172 1189470 1387715 1427364 1611540 1665258 1784205 2378940 2497887 2775430 3330516 3568410 4163145 4995774 5550860 7136820 8326290 9991548 12489435 16652580 24978870 49957740