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49030400 = 285247163
BaseRepresentation
bin1011101100001…
…0010100000000
310102021000001202
42323002110000
5100022433100
64510520332
71133515526
oct273022400
9112230052
1049030400
11257492a1
12145060a8
13a208c93
146724316
1544877d5
hex2ec2500

49030400 has 108 divisors (see below), whose sum is σ = 124700352. Its totient is φ = 19077120.

The previous prime is 49030391. The next prime is 49030403. The reversal of 49030400 is 403094.

49030400 = T1968 + T1969 + ... + T1992.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49030403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300719 + ... + 300881.

Almost surely, 249030400 is an apocalyptic number.

49030400 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 49030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62350176).

49030400 is an abundant number, since it is smaller than the sum of its proper divisors (75669952).

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

49030400 is a wasteful number, since it uses less digits than its factorization.

49030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 49030400 is about 7002.1710918829. The cubic root of 49030400 is about 366.0062307956.

Adding to 49030400 its reverse (403094), we get a palindrome (49433494).

The spelling of 49030400 in words is "forty-nine million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 128 160 163 188 200 235 256 320 326 376 400 470 640 652 752 800 815 940 1175 1280 1304 1504 1600 1630 1880 2350 2608 3008 3200 3260 3760 4075 4700 5216 6016 6400 6520 7520 7661 8150 9400 10432 12032 13040 15040 15322 16300 18800 20864 26080 30080 30644 32600 37600 38305 41728 52160 60160 61288 65200 75200 76610 104320 122576 130400 150400 153220 191525 208640 245152 260800 300800 306440 383050 490304 521600 612880 766100 980608 1043200 1225760 1532200 1961216 2451520 3064400 4903040 6128800 9806080 12257600 24515200 49030400