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49136000 = 27533783
BaseRepresentation
bin1011101101110…
…0000110000000
310102110100220212
42323130012000
5100034323000
64513053252
71134435434
oct273340600
9112410825
1049136000
1125810671
1214557228
13a245074
1467509c4
1544a8c35
hex2edc180

49136000 has 128 divisors (see below), whose sum is σ = 126977760. Its totient is φ = 18892800.

The previous prime is 49135997. The next prime is 49136039. The reversal of 49136000 is 63194.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591959 + ... + 592041.

Almost surely, 249136000 is an apocalyptic number.

49136000 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 49136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63488880).

49136000 is an abundant number, since it is smaller than the sum of its proper divisors (77841760).

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

49136000 is an equidigital number, since it uses as much as digits as its factorization.

49136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 49136000 is about 7009.7075545275. The cubic root of 49136000 is about 366.2688062811.

Adding to 49136000 its reverse (63194), we get a palindrome (49199194).

The spelling of 49136000 in words is "forty-nine million, one hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 83 100 125 128 148 160 166 185 200 250 296 320 332 370 400 415 500 592 640 664 740 800 830 925 1000 1184 1328 1480 1600 1660 1850 2000 2075 2368 2656 2960 3071 3200 3320 3700 4000 4150 4625 4736 5312 5920 6142 6640 7400 8000 8300 9250 10375 10624 11840 12284 13280 14800 15355 16000 16600 18500 20750 23680 24568 26560 29600 30710 33200 37000 41500 49136 53120 59200 61420 66400 74000 76775 83000 98272 118400 122840 132800 148000 153550 166000 196544 245680 265600 296000 307100 332000 383875 393088 491360 592000 614200 664000 767750 982720 1228400 1328000 1535500 1965440 2456800 3071000 4913600 6142000 9827200 12284000 24568000 49136000