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5252607760 = 245192315867
BaseRepresentation
bin1001110010001010…
…00110111100010000
3111120001201010021011
410321011012330100
541224131422020
62225113340304
7244110300151
oct47105067420
914501633234
105252607760
112255a61a54
121027107694
136592a523a
1437b859928
1520b20335a
hex139146f10

5252607760 has 120 divisors (see below), whose sum is σ = 13306934016. Its totient is φ = 1925925120.

The previous prime is 5252607751. The next prime is 5252607769. The reversal of 5252607760 is 677062525.

It is an interprime number because it is at equal distance from previous prime (5252607751) and next prime (5252607769).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5252607769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892347 + ... + 898213.

Almost surely, 25252607760 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 5252607760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653467008).

5252607760 is an abundant number, since it is smaller than the sum of its proper divisors (8054326256).

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

5252607760 is a wasteful number, since it uses less digits than its factorization.

5252607760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5924 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 5252607760 is about 72474.8767504989. The cubic root of 5252607760 is about 1738.3010412625.

The spelling of 5252607760 in words is "five billion, two hundred fifty-two million, six hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 361 380 496 589 620 722 760 1178 1240 1444 1520 1805 2356 2480 2888 2945 3610 4712 5776 5867 5890 7220 9424 11191 11734 11780 14440 22382 23468 23560 28880 29335 44764 46936 47120 55955 58670 89528 93872 111473 111910 117340 179056 181877 222946 223820 234680 363754 445892 447640 469360 557365 727508 891784 895280 909385 1114730 1455016 1783568 1818770 2117987 2229460 2910032 3455663 3637540 4235974 4458920 6911326 7275080 8471948 8917840 10589935 13822652 14550160 16943896 17278315 21179870 27645304 33887792 34556630 42359740 55290608 65657597 69113260 84719480 131315194 138226520 169438960 262630388 276453040 328287985 525260776 656575970 1050521552 1313151940 2626303880 5252607760