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5048160 = 253513809
BaseRepresentation
bin10011010000011101100000
3100111110202220
4103100131200
52243020120
6300111040
760623445
oct23203540
910443686
105048160
112938837
121835480
1310799a0
149559cc
1569ab40
hex4d0760

5048160 has 96 divisors (see below), whose sum is σ = 17146080. Its totient is φ = 1241088.

The previous prime is 5048149. The next prime is 5048221. The reversal of 5048160 is 618405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5048160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5836 + ... + 6644.

It is an arithmetic number, because the mean of its divisors is an integer number (178605).

Almost surely, 25048160 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 5048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573040).

5048160 is an abundant number, since it is smaller than the sum of its proper divisors (12097920).

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

5048160 is a wasteful number, since it uses less digits than its factorization.

5048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5048160 is about 2246.8110734995. The cubic root of 5048160 is about 171.5448576090.

The spelling of 5048160 in words is "five million, forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 809 1040 1248 1560 1618 2080 2427 3120 3236 4045 4854 6240 6472 8090 9708 10517 12135 12944 16180 19416 21034 24270 25888 31551 32360 38832 42068 48540 52585 63102 64720 77664 84136 97080 105170 126204 129440 157755 168272 194160 210340 252408 315510 336544 388320 420680 504816 631020 841360 1009632 1262040 1682720 2524080 5048160