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4949880 = 23351319167
BaseRepresentation
bin10010111000011101111000
3100022110221220
4102320131320
52231344010
6254032040
760034065
oct22703570
910273856
104949880
112880a11
1217a8620
131044030
1492bc6c
1567b970
hex4b8778

4949880 has 128 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1147392.

The previous prime is 4949843. The next prime is 4949881. The reversal of 4949880 is 889494.

4949880 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949881) 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, 29557 + ... + 29723.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 24949880 is an apocalyptic number.

4949880 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 4949880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

4949880 is an abundant number, since it is smaller than the sum of its proper divisors (11984520).

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

4949880 is a wasteful number, since it uses less digits than its factorization.

4949880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4949880 is about 2224.8325779708. The cubic root of 4949880 is about 170.4243148974.

The spelling of 4949880 in words is "four million, nine hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 167 190 195 228 247 260 285 312 334 380 390 456 494 501 520 570 668 741 760 780 835 988 1002 1140 1235 1336 1482 1560 1670 1976 2004 2171 2280 2470 2505 2964 3173 3340 3705 4008 4342 4940 5010 5928 6346 6513 6680 7410 8684 9519 9880 10020 10855 12692 13026 14820 15865 17368 19038 20040 21710 25384 26052 29640 31730 32565 38076 41249 43420 47595 52104 63460 65130 76152 82498 86840 95190 123747 126920 130260 164996 190380 206245 247494 260520 329992 380760 412490 494988 618735 824980 989976 1237470 1649960 2474940 4949880