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652426368 = 27311257601
BaseRepresentation
bin100110111000110…
…011110010000000
31200110122200201120
4212320303302000
52314010120433
6144423432240
722111350456
oct4670636200
91613580646
10652426368
11305306650
121625b5680
13a5223509
14629129d6
153c4267b3
hex26e33c80

652426368 has 128 divisors (see below), whose sum is σ = 1901067840. Its totient is φ = 196608000.

The previous prime is 652426363. The next prime is 652426381. The reversal of 652426368 is 863624256.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (652426361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085268 + ... + 1085868.

Almost surely, 2652426368 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 652426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950533920).

652426368 is an abundant number, since it is smaller than the sum of its proper divisors (1248641472).

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

652426368 is a wasteful number, since it uses less digits than its factorization.

652426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 652426368 is about 25542.6382349201. The cubic root of 652426368 is about 867.3156207182.

The spelling of 652426368 in words is "six hundred fifty-two million, four hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 257 264 352 384 514 528 601 704 771 1028 1056 1202 1408 1542 1803 2056 2112 2404 2827 3084 3606 4112 4224 4808 5654 6168 6611 7212 8224 8481 9616 11308 12336 13222 14424 16448 16962 19232 19833 22616 24672 26444 28848 32896 33924 38464 39666 45232 49344 52888 57696 67848 76928 79332 90464 98688 105776 115392 135696 154457 158664 180928 211552 230784 271392 308914 317328 361856 423104 463371 542784 617828 634656 846208 926742 1085568 1235656 1269312 1699027 1853484 2471312 2538624 3398054 3706968 4942624 5097081 6796108 7413936 9885248 10194162 13592216 14827872 19770496 20388324 27184432 29655744 40776648 54368864 59311488 81553296 108737728 163106592 217475456 326213184 652426368