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49940280 = 23335133557
BaseRepresentation
bin1011111010000…
…0011100111000
310110222020012000
42332200130320
5100241042110
64542221000
71144325325
oct276403470
9113866160
1049940280
112620a965
1214884760
13a467180
1468bdb4c
1545b71c0
hex2fa0738

49940280 has 128 divisors (see below), whose sum is σ = 179323200. Its totient is φ = 12289536.

The previous prime is 49940279. The next prime is 49940299. The reversal of 49940280 is 8204994.

It is a happy number.

49940280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12262 + ... + 15818.

Almost surely, 249940280 is an apocalyptic number.

49940280 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 49940280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89661600).

49940280 is an abundant number, since it is smaller than the sum of its proper divisors (129382920).

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

49940280 is a wasteful number, since it uses less digits than its factorization.

49940280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49940280 is about 7066.8437084741. The cubic root of 49940280 is about 368.2564178556.

The spelling of 49940280 in words is "forty-nine million, nine hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 3557 4680 7020 7114 10671 14040 14228 17785 21342 28456 32013 35570 42684 46241 53355 64026 71140 85368 92482 96039 106710 128052 138723 142280 160065 184964 192078 213420 231205 256104 277446 320130 369928 384156 416169 426840 462410 480195 554892 640260 693615 768312 832338 924820 960390 1109784 1248507 1280520 1387230 1664676 1849640 1920780 2080845 2497014 2774460 3329352 3841560 4161690 4994028 5548920 6242535 8323380 9988056 12485070 16646760 24970140 49940280