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5207724760 = 2357181211487
BaseRepresentation
bin1001101100110011…
…11001001011011000
3111102221020211100211
410312121321023120
541131134143020
62220431340504
7243023634010
oct46631711330
914387224324
105207724760
112232696767
121014081734
1364cbbbc54
143758d4c40
152072d985a
hex1366792d8

5207724760 has 128 divisors (see below), whose sum is σ = 13556874240. Its totient is φ = 1763596800.

The previous prime is 5207724737. The next prime is 5207724773. The reversal of 5207724760 is 674277025.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10693237 + ... + 10693723.

It is an arithmetic number, because the mean of its divisors is an integer number (105913080).

Almost surely, 25207724760 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 5207724760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778437120).

5207724760 is an abundant number, since it is smaller than the sum of its proper divisors (8349149480).

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

5207724760 is a wasteful number, since it uses less digits than its factorization.

5207724760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 5207724760 is about 72164.5672057971. The cubic root of 5207724760 is about 1733.3356694577.

The spelling of 5207724760 in words is "five billion, two hundred seven million, seven hundred twenty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 211 280 362 422 487 724 844 905 974 1055 1267 1448 1477 1688 1810 1948 2110 2435 2534 2954 3409 3620 3896 4220 4870 5068 5908 6335 6818 7240 7385 8440 9740 10136 11816 12670 13636 14770 17045 19480 25340 27272 29540 34090 38191 50680 59080 68180 76382 88147 102757 136360 152764 176294 190955 205514 267337 305528 352588 381910 411028 440735 513785 534674 617029 705176 719299 763820 822056 881470 1027570 1069348 1234058 1336685 1438598 1527640 1762940 2055140 2138696 2468116 2673370 2877196 3085145 3525880 3596495 4110280 4936232 5346740 5754392 6170290 7192990 10693480 12340580 14385980 18599017 24681160 28771960 37198034 74396068 92995085 130193119 148792136 185990170 260386238 371980340 520772476 650965595 743960680 1041544952 1301931190 2603862380 5207724760