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49255680 = 2835101127
BaseRepresentation
bin1011101111100…
…1010100000000
310102200110002110
42323321110000
5100102140210
64515415320
71135444365
oct273712400
9112613073
1049255680
1125892581
12145b4540
13a287696
14678246c
1544ce420
hex2ef9500

49255680 has 144 divisors (see below), whose sum is σ = 160118784. Its totient is φ = 12902400.

The previous prime is 49255651. The next prime is 49255691. The reversal of 49255680 is 8655294.

It is a super-2 number, since 2×492556802 = 4852244024524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387777 + ... + 387903.

It is an arithmetic number, because the mean of its divisors is an integer number (1111936).

Almost surely, 249255680 is an apocalyptic number.

49255680 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 49255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80059392).

49255680 is an abundant number, since it is smaller than the sum of its proper divisors (110863104).

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

49255680 is a wasteful number, since it uses less digits than its factorization.

49255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 49255680 is about 7018.2390953857. The cubic root of 49255680 is about 366.5659374362.

The spelling of 49255680 in words is "forty-nine million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 127 128 160 192 202 240 254 256 303 320 381 384 404 480 505 508 606 635 640 762 768 808 960 1010 1016 1212 1270 1280 1515 1524 1616 1905 1920 2020 2032 2424 2540 3030 3048 3232 3810 3840 4040 4064 4848 5080 6060 6096 6464 7620 8080 8128 9696 10160 12120 12192 12827 12928 15240 16160 16256 19392 20320 24240 24384 25654 25856 30480 32320 32512 38481 38784 40640 48480 48768 51308 60960 64135 64640 76962 77568 81280 96960 97536 102616 121920 128270 129280 153924 162560 192405 193920 205232 243840 256540 307848 384810 387840 410464 487680 513080 615696 769620 820928 1026160 1231392 1539240 1641856 2052320 2462784 3078480 3283712 4104640 4925568 6156960 8209280 9851136 12313920 16418560 24627840 49255680