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5458240 = 26537461
BaseRepresentation
bin10100110100100101000000
3101021022022001
4110310211000
52344130430
6312553344
764252144
oct24644500
911238261
105458240
113098947
1219b2854
131191538
14a21224
1572c3ca
hex534940

5458240 has 56 divisors (see below), whose sum is σ = 13377672. Its totient is φ = 2119680.

The previous prime is 5458237. The next prime is 5458253. The reversal of 5458240 is 428545.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 4393216 = 1032^2 + 2096^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5458199 and 5458208.

It is a congruent number.

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, 11610 + ... + 12070.

It is an arithmetic number, because the mean of its divisors is an integer number (238887).

Almost surely, 25458240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688836).

5458240 is an abundant number, since it is smaller than the sum of its proper divisors (7919432).

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

5458240 is a wasteful number, since it uses less digits than its factorization.

5458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5458240 is about 2336.2876535221. The cubic root of 5458240 is about 176.0695317553.

The spelling of 5458240 in words is "five million, four hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 461 592 740 922 1184 1480 1844 2305 2368 2960 3688 4610 5920 7376 9220 11840 14752 17057 18440 29504 34114 36880 68228 73760 85285 136456 147520 170570 272912 341140 545824 682280 1091648 1364560 2729120 5458240