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652273248 = 253112233241
BaseRepresentation
bin100110111000001…
…110011001100000
31200110100220200110
4212320032121200
52313440220443
6144420251320
722110142164
oct4670163140
91613326613
10652273248
11305211600
12162540b40
13a519b903
14628b2ca4
153c3e6233
hex26e0e660

652273248 has 144 divisors (see below), whose sum is σ = 1897944048. Its totient is φ = 195993600.

The previous prime is 652273243. The next prime is 652273253. The reversal of 652273248 is 842372256.

It is an interprime number because it is at equal distance from previous prime (652273243) and next prime (652273253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652273241) 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 23 ways as a sum of consecutive naturals, for example, 2706408 + ... + 2706648.

It is an arithmetic number, because the mean of its divisors is an integer number (13180167).

Almost surely, 2652273248 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 652273248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948972024).

652273248 is an abundant number, since it is smaller than the sum of its proper divisors (1245670800).

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

652273248 is a wasteful number, since it uses less digits than its factorization.

652273248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 652273248 is about 25539.6407179114. The cubic root of 652273248 is about 867.2477643976.

The spelling of 652273248 in words is "six hundred fifty-two million, two hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 233 241 242 264 352 363 466 482 484 528 699 723 726 932 964 968 1056 1398 1446 1452 1864 1928 1936 2563 2651 2796 2892 2904 3728 3856 3872 5126 5302 5592 5784 5808 7456 7689 7712 7953 10252 10604 11184 11568 11616 15378 15906 20504 21208 22368 23136 28193 29161 30756 31812 41008 42416 56153 56386 58322 61512 63624 82016 84579 84832 87483 112306 112772 116644 123024 127248 168459 169158 174966 224612 225544 233288 246048 254496 336918 338316 349932 449224 451088 466576 617683 673836 676632 699864 898448 902176 933152 1235366 1347672 1353264 1399728 1796896 1853049 2470732 2695344 2706528 2799456 3706098 4941464 5390688 6794513 7412196 9882928 13589026 14824392 19765856 20383539 27178052 29648784 40767078 54356104 59297568 81534156 108712208 163068312 217424416 326136624 652273248