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49778640 = 24325471471
BaseRepresentation
bin1011110111100…
…0111111010000
310110200000110100
42331320333100
5100220404030
64534532400
71143053142
oct275707720
9113600410
1049778640
112610a47a
1214807100
13a40b722
14687ac92
154584360
hex2f78fd0

49778640 has 120 divisors (see below), whose sum is σ = 170846208. Its totient is φ = 12983040.

The previous prime is 49778629. The next prime is 49778657. The reversal of 49778640 is 4687794.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33105 + ... + 34575.

Almost surely, 249778640 is an apocalyptic number.

49778640 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 49778640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85423104).

49778640 is an abundant number, since it is smaller than the sum of its proper divisors (121067568).

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

49778640 is a wasteful number, since it uses less digits than its factorization.

49778640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 49778640 is about 7055.3979334974. The cubic root of 49778640 is about 367.8586807722.

The spelling of 49778640 in words is "forty-nine million, seven hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1471 1692 1880 2115 2256 2820 2942 3384 3760 4230 4413 5640 5884 6768 7355 8460 8826 11280 11768 13239 14710 16920 17652 22065 23536 26478 29420 33840 35304 44130 52956 58840 66195 69137 70608 88260 105912 117680 132390 138274 176520 207411 211824 264780 276548 345685 353040 414822 529560 553096 622233 691370 829644 1037055 1059120 1106192 1244466 1382740 1659288 2074110 2488932 2765480 3111165 3318576 4148220 4977864 5530960 6222330 8296440 9955728 12444660 16592880 24889320 49778640