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49010400 = 2533522269
BaseRepresentation
bin1011101011110…
…1011011100000
310102012222122000
42322331123200
5100021313100
64510244000
71133403315
oct272753340
9112188560
1049010400
112573526a
12144b6600
13a1ccb4a
14671ad0c
154481900
hex2ebd6e0

49010400 has 144 divisors (see below), whose sum is σ = 177332400. Its totient is φ = 13063680.

The previous prime is 49010393. The next prime is 49010407. The reversal of 49010400 is 401094.

It is an interprime number because it is at equal distance from previous prime (49010393) and next prime (49010407).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49010407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20466 + ... + 22734.

It is an arithmetic number, because the mean of its divisors is an integer number (1231475).

Almost surely, 249010400 is an apocalyptic number.

49010400 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 49010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88666200).

49010400 is an abundant number, since it is smaller than the sum of its proper divisors (128322000).

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

49010400 is a wasteful number, since it uses less digits than its factorization.

49010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49010400 is about 7000.7428177301. The cubic root of 49010400 is about 365.9564581365.

Adding to 49010400 its reverse (401094), we get a palindrome (49411494).

The spelling of 49010400 in words is "forty-nine million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2269 2400 2700 3600 4320 4538 5400 6807 7200 9076 10800 11345 13614 18152 20421 21600 22690 27228 34035 36304 40842 45380 54456 56725 61263 68070 72608 81684 90760 102105 108912 113450 122526 136140 163368 170175 181520 204210 217824 226900 245052 272280 306315 326736 340350 363040 408420 453800 490104 510525 544560 612630 653472 680700 816840 907600 980208 1021050 1089120 1225260 1361400 1531575 1633680 1815200 1960416 2042100 2450520 2722800 3063150 3267360 4084200 4901040 5445600 6126300 8168400 9802080 12252600 16336800 24505200 49010400