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652122016 = 25713239937
BaseRepresentation
bin100110110111101…
…001011110100000
31200110002020020021
4212313221132200
52313420401031
6144413123224
722105642240
oct4667513640
91613066207
10652122016
11305118a17
12162489514
13a5147b20
1462873b20
153c3b6511
hex26de97a0

652122016 has 96 divisors (see below), whose sum is σ = 1588446720. Its totient is φ = 256628736.

The previous prime is 652121999. The next prime is 652122019. The reversal of 652122016 is 610221256.

It is not an unprimeable number, because it can be changed into a prime (652122019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695500 + ... + 696436.

It is an arithmetic number, because the mean of its divisors is an integer number (16546320).

Almost surely, 2652122016 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 652122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794223360).

652122016 is an abundant number, since it is smaller than the sum of its proper divisors (936324704).

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

652122016 is a wasteful number, since it uses less digits than its factorization.

652122016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 652122016 is about 25536.6798155124. The cubic root of 652122016 is about 867.1807343341.

The spelling of 652122016 in words is "six hundred fifty-two million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 239 364 416 478 728 937 956 1456 1673 1874 1912 2912 3107 3346 3748 3824 6214 6559 6692 7496 7648 12181 12428 13118 13384 14992 21749 24362 24856 26236 26768 29984 43498 48724 49712 52472 53536 85267 86996 97448 99424 104944 170534 173992 194896 209888 223943 341068 347984 389792 447886 682136 695968 895772 1364272 1567601 1791544 2728544 2911259 3135202 3583088 5822518 6270404 7166176 11645036 12540808 20378813 23290072 25081616 40757626 46580144 50163232 81515252 93160288 163030504 326061008 652122016