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4962880 = 265131193
BaseRepresentation
bin10010111011101001000000
3100100010210101
4102323221000
52232303010
6254212144
760120016
oct22735100
910303711
104962880
11288a75a
1217b4054
131049c20
149328b6
1568073a
hex4bba40

4962880 has 56 divisors (see below), whose sum is σ = 12737592. Its totient is φ = 1830912.

The previous prime is 4962877. The next prime is 4962911. The reversal of 4962880 is 882694.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 4875264 = 296^2 + 2208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3564 + ... + 4756.

It is an arithmetic number, because the mean of its divisors is an integer number (227457).

Almost surely, 24962880 is an apocalyptic number.

4962880 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 4962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368796).

4962880 is an abundant number, since it is smaller than the sum of its proper divisors (7774712).

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

4962880 is a wasteful number, since it uses less digits than its factorization.

4962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 4962880 is about 2227.7522303883. The cubic root of 4962880 is about 170.5733810945.

The spelling of 4962880 in words is "four million, nine hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1193 2080 2386 4160 4772 5965 9544 11930 15509 19088 23860 31018 38176 47720 62036 76352 77545 95440 124072 155090 190880 248144 310180 381760 496288 620360 992576 1240720 2481440 4962880