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4906880 = 275111741
BaseRepresentation
bin10010101101111110000000
3100020021222022
4102231332000
52224010010
6253101012
756464526
oct22557600
910207868
104906880
112851680
121787768
13102a5a4
1491a316
1566dd55
hex4adf80

4906880 has 128 divisors (see below), whose sum is σ = 13880160. Its totient is φ = 1638400.

The previous prime is 4906873. The next prime is 4906907. The reversal of 4906880 is 886094.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 4906880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119660 + ... + 119700.

Almost surely, 24906880 is an apocalyptic number.

4906880 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 4906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940080).

4906880 is an abundant number, since it is smaller than the sum of its proper divisors (8973280).

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

4906880 is a wasteful number, since it uses less digits than its factorization.

4906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4906880 is about 2215.1478505960. The cubic root of 4906880 is about 169.9293824344.

The spelling of 4906880 in words is "four million, nine hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 41 44 55 64 68 80 82 85 88 110 128 136 160 164 170 176 187 205 220 272 320 328 340 352 374 410 440 451 544 640 656 680 697 704 748 820 880 902 935 1088 1312 1360 1394 1408 1496 1640 1760 1804 1870 2176 2255 2624 2720 2788 2992 3280 3485 3520 3608 3740 4510 5248 5440 5576 5984 6560 6970 7040 7216 7480 7667 9020 10880 11152 11968 13120 13940 14432 14960 15334 18040 22304 23936 26240 27880 28864 29920 30668 36080 38335 44608 55760 57728 59840 61336 72160 76670 89216 111520 119680 122672 144320 153340 223040 245344 288640 306680 446080 490688 613360 981376 1226720 2453440 4906880