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4976960 = 265103151
BaseRepresentation
bin10010111111000101000000
3100100212002212
4102333011000
52233230320
6254401252
760206042
oct22770500
910325085
104976960
11289a29a
121800228
131053461
14937a92
156849c5
hex4bf140

4976960 has 56 divisors (see below), whose sum is σ = 12045696. Its totient is φ = 1958400.

The previous prime is 4976953. The next prime is 4976963. The reversal of 4976960 is 696794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32885 + ... + 33035.

Almost surely, 24976960 is an apocalyptic number.

4976960 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 4976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022848).

4976960 is an abundant number, since it is smaller than the sum of its proper divisors (7068736).

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

4976960 is a wasteful number, since it uses less digits than its factorization.

4976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 4976960 is about 2230.9101281764. The cubic root of 4976960 is about 170.7345378923.

The spelling of 4976960 in words is "four million, nine hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 151 160 206 302 320 412 515 604 755 824 1030 1208 1510 1648 2060 2416 3020 3296 4120 4832 6040 6592 8240 9664 12080 15553 16480 24160 31106 32960 48320 62212 77765 124424 155530 248848 311060 497696 622120 995392 1244240 2488480 4976960