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49199400 = 2334523037
BaseRepresentation
bin1011101110101…
…1100100101000
310102120120220000
42323223210220
5100043340100
64514303000
71135121325
oct273534450
9112516800
1049199400
1125854268
1214587a60
13a267b93
146769b4c
1544bc900
hex2eeb928

49199400 has 120 divisors (see below), whose sum is σ = 170933070. Its totient is φ = 13115520.

The previous prime is 49199393. The next prime is 49199407. The reversal of 49199400 is 499194.

It is an interprime number because it is at equal distance from previous prime (49199393) and next prime (49199407).

It can be written as a sum of positive squares in 3 ways, for example, as 43639236 + 5560164 = 6606^2 + 2358^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49199407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14682 + ... + 17718.

Almost surely, 249199400 is an apocalyptic number.

49199400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49199400 is the 4050-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49199400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85466535).

49199400 is an abundant number, since it is smaller than the sum of its proper divisors (121733670).

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

49199400 is a wasteful number, since it uses less digits than its factorization.

49199400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49199400 is about 7014.2283966235. The cubic root of 49199400 is about 366.4262703398.

The spelling of 49199400 in words is "forty-nine million, one hundred ninety-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3037 3240 4050 5400 6074 8100 9111 12148 15185 16200 18222 24296 27333 30370 36444 45555 54666 60740 72888 75925 81999 91110 109332 121480 136665 151850 163998 182220 218664 227775 245997 273330 303700 327996 364440 409995 455550 491994 546660 607400 655992 683325 819990 911100 983988 1093320 1229985 1366650 1639980 1822200 1967976 2049975 2459970 2733300 3279960 4099950 4919940 5466600 6149925 8199900 9839880 12299850 16399800 24599700 49199400