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49339920 = 2435743683
BaseRepresentation
bin1011110000110…
…1111000010000
310102211201122110
42330031320100
5100112334140
64521305320
71136245110
oct274157020
9112751573
1049339920
112593a8a3
1214635240
13a2b6b26
1467a5040
1544e9380
hex2f0de10

49339920 has 160 divisors (see below), whose sum is σ = 179131392. Its totient is φ = 10999296.

The previous prime is 49339891. The next prime is 49339921. The reversal of 49339920 is 2993394.

It is not an unprimeable number, because it can be changed into a prime (49339921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71899 + ... + 72581.

Almost surely, 249339920 is an apocalyptic number.

49339920 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 49339920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89565696).

49339920 is an abundant number, since it is smaller than the sum of its proper divisors (129791472).

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

49339920 is a wasteful number, since it uses less digits than its factorization.

49339920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 49339920 is about 7024.2380369688. The cubic root of 49339920 is about 366.7747927214.

The spelling of 49339920 in words is "forty-nine million, three hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 683 688 840 860 903 1032 1204 1290 1366 1505 1680 1720 1806 2049 2064 2408 2580 2732 3010 3415 3440 3612 4098 4515 4781 4816 5160 5464 6020 6830 7224 8196 9030 9562 10245 10320 10928 12040 13660 14343 14448 16392 18060 19124 20490 23905 24080 27320 28686 29369 32784 36120 38248 40980 47810 54640 57372 58738 71715 72240 76496 81960 88107 95620 114744 117476 143430 146845 163920 176214 191240 205583 229488 234952 286860 293690 352428 382480 411166 440535 469904 573720 587380 616749 704856 822332 881070 1027915 1147440 1174760 1233498 1409712 1644664 1762140 2055830 2349520 2466996 3083745 3289328 3524280 4111660 4933992 6167490 7048560 8223320 9867984 12334980 16446640 24669960 49339920