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49977450 = 232521747139
BaseRepresentation
bin1011111010100…
…1100001101010
310111001010011200
42332221201222
5100243234300
64543105030
71144541565
oct276514152
9114033150
1049977450
1126235886
12148a2176
13a47b073
1468cd4dc
1545c3200
hex2fa986a

49977450 has 144 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 12188160.

The previous prime is 49977449. The next prime is 49977493. The reversal of 49977450 is 5477994.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49977396 and 49977405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359481 + ... + 359619.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 249977450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49977450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

49977450 is an abundant number, since it is smaller than the sum of its proper divisors (96263190).

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

49977450 is a wasteful number, since it uses less digits than its factorization.

49977450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 49977450 is about 7069.4731062506. The cubic root of 49977450 is about 368.3477582625.

The spelling of 49977450 in words is "forty-nine million, nine hundred seventy-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 47 50 51 75 85 90 94 102 139 141 150 153 170 225 235 255 278 282 306 417 423 425 450 470 510 695 705 765 799 834 846 850 1175 1251 1275 1390 1410 1530 1598 2085 2115 2350 2363 2397 2502 2550 3475 3525 3825 3995 4170 4230 4726 4794 6255 6533 6950 7050 7089 7191 7650 7990 10425 10575 11815 11985 12510 13066 14178 14382 19599 19975 20850 21150 21267 23630 23970 31275 32665 35445 35955 39198 39950 42534 58797 59075 59925 62550 65330 70890 71910 97995 106335 111061 117594 118150 119850 163325 177225 179775 195990 212670 222122 293985 326650 333183 354450 359550 489975 531675 555305 587970 666366 979950 999549 1063350 1110610 1469925 1665915 1999098 2776525 2939850 3331830 4997745 5553050 8329575 9995490 16659150 24988725 49977450