[go: up one dir, main page]

Search a number
-
+
49872480 = 2535714843
BaseRepresentation
bin1011111000111…
…1111001100000
310110211210011220
42332033321200
5100231404410
64540535040
71143623550
oct276177140
9113753156
1049872480
1126173a29
1214851480
13a442358
1468a3160
1545a2070
hex2f8fe60

49872480 has 96 divisors (see below), whose sum is σ = 179553024. Its totient is φ = 11398656.

The previous prime is 49872479. The next prime is 49872491. The reversal of 49872480 is 8427894.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×498724802 = 4974528522700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062 + ... + 10781.

It is an arithmetic number, because the mean of its divisors is an integer number (1870344).

Almost surely, 249872480 is an apocalyptic number.

49872480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49872480 is an abundant number, since it is smaller than the sum of its proper divisors (129680544).

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

49872480 is a wasteful number, since it uses less digits than its factorization.

49872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14868 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 49872480 is about 7062.0450295931. The cubic root of 49872480 is about 368.0896914336.

The spelling of 49872480 in words is "forty-nine million, eight hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 14843 29686 44529 59372 74215 89058 103901 118744 148430 178116 207802 222645 237488 296860 311703 356232 415604 445290 474976 519505 593720 623406 712464 831208 890580 1039010 1187440 1246812 1424928 1558515 1662416 1781160 2078020 2374880 2493624 3117030 3324832 3562320 4156040 4987248 6234060 7124640 8312080 9974496 12468120 16624160 24936240 49872480