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4979880 = 233452953
BaseRepresentation
bin10010111111110010101000
3100101000010000
4102333302220
52233324010
6254423000
760220413
oct22776250
910330100
104979880
1128a1504
121801a60
131054899
14938b7a
156857c0
hex4bfca8

4979880 has 160 divisors (see below), whose sum is σ = 17641800. Its totient is φ = 1257984.

The previous prime is 4979879. The next prime is 4979893. The reversal of 4979880 is 889794.

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 544644 = 2106^2 + 738^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 93934 + ... + 93986.

Almost surely, 24979880 is an apocalyptic number.

4979880 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 4979880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820900).

4979880 is an abundant number, since it is smaller than the sum of its proper divisors (12661920).

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

4979880 is a wasteful number, since it uses less digits than its factorization.

4979880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 4979880 is about 2231.5644736373. The cubic root of 4979880 is about 170.7679215498.

The spelling of 4979880 in words is "four million, nine hundred seventy-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 53 54 58 60 72 81 87 90 106 108 116 120 135 145 159 162 174 180 212 216 232 261 265 270 290 318 324 348 360 405 424 435 477 522 530 540 580 636 648 696 783 795 810 870 954 1044 1060 1080 1160 1272 1305 1431 1537 1566 1590 1620 1740 1908 2088 2120 2349 2385 2610 2862 3074 3132 3180 3240 3480 3816 3915 4293 4611 4698 4770 5220 5724 6148 6264 6360 7155 7685 7830 8586 9222 9396 9540 10440 11448 11745 12296 13833 14310 15370 15660 17172 18444 18792 19080 21465 23055 23490 27666 28620 30740 31320 34344 36888 41499 42930 46110 46980 55332 57240 61480 69165 82998 85860 92220 93960 110664 124497 138330 165996 171720 184440 207495 248994 276660 331992 414990 497988 553320 622485 829980 995976 1244970 1659960 2489940 4979880