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5206752 = 2532101179
BaseRepresentation
bin10011110111001011100000
3100210112022200
4103313023200
52313104002
6303333200
762154015
oct23671340
910715280
105206752
112a36a01
1218b1200
131103c25
1499770c
156ccb1c
hex4f72e0

5206752 has 72 divisors (see below), whose sum is σ = 15036840. Its totient is φ = 1708800.

The previous prime is 5206739. The next prime is 5206783. The reversal of 5206752 is 2576025.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52067522 = 54220532779008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28999 + ... + 29177.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 25206752 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 5206752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518420).

5206752 is an abundant number, since it is smaller than the sum of its proper divisors (9830088).

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

5206752 is a wasteful number, since it uses less digits than its factorization.

5206752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5206752 is about 2281.8308438620. The cubic root of 5206752 is about 173.3227738472.

The spelling of 5206752 in words is "five million, two hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 179 202 288 303 358 404 537 606 716 808 909 1074 1212 1432 1611 1616 1818 2148 2424 2864 3222 3232 3636 4296 4848 5728 6444 7272 8592 9696 12888 14544 17184 18079 25776 29088 36158 51552 54237 72316 108474 144632 162711 216948 289264 325422 433896 578528 650844 867792 1301688 1735584 2603376 5206752