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49194720 = 25325127269
BaseRepresentation
bin1011101110101…
…0011011100000
310102120100110200
42323222123200
5100043212340
64514225200
71135101561
oct273523340
9112510420
1049194720
11258507a3
1214585200
13a265a03
146768168
1544bb330
hex2eea6e0

49194720 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 12966912.

The previous prime is 49194703. The next prime is 49194721. The reversal of 49194720 is 2749194.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49194721) 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, 182746 + ... + 183014.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 249194720 is an apocalyptic number.

49194720 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 49194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

49194720 is an abundant number, since it is smaller than the sum of its proper divisors (120633120).

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

49194720 is a wasteful number, since it uses less digits than its factorization.

49194720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 49194720 is about 7013.8947810756. The cubic root of 49194720 is about 366.4146514358.

The spelling of 49194720 in words is "forty-nine million, one hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 127 144 160 180 240 254 269 288 360 381 480 508 538 635 720 762 807 1016 1076 1143 1270 1345 1440 1524 1614 1905 2032 2152 2286 2421 2540 2690 3048 3228 3810 4035 4064 4304 4572 4842 5080 5380 5715 6096 6456 7620 8070 8608 9144 9684 10160 10760 11430 12105 12192 12912 15240 16140 18288 19368 20320 21520 22860 24210 25824 30480 32280 34163 36576 38736 43040 45720 48420 60960 64560 68326 77472 91440 96840 102489 129120 136652 170815 182880 193680 204978 273304 307467 341630 387360 409956 512445 546608 614934 683260 819912 1024890 1093216 1229868 1366520 1537335 1639824 2049780 2459736 2733040 3074670 3279648 4099560 4919472 5466080 6149340 8199120 9838944 12298680 16398240 24597360 49194720