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7580952225 = 3252711716163
BaseRepresentation
bin1110000111101110…
…00010011010100001
3201120022220021102100
413003313002122201
5111011210432400
63252130041013
7355602013350
oct70367023241
921508807370
107580952225
113240282680
121576a19169
1393a792962
1451cb85997
152e5823100
hex1c3dc26a1

7580952225 has 144 divisors (see below), whose sum is σ = 17170043904. Its totient is φ = 3105648000.

The previous prime is 7580952217. The next prime is 7580952229. The reversal of 7580952225 is 5222590857.

It is not a de Polignac number, because 7580952225 - 23 = 7580952217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7580952229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1226994 + ... + 1233156.

It is an arithmetic number, because the mean of its divisors is an integer number (119236416).

Almost surely, 27580952225 is an apocalyptic number.

7580952225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7580952225 is an abundant number, since it is smaller than the sum of its proper divisors (9589091679).

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

7580952225 is a wasteful number, since it uses less digits than its factorization.

7580952225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 7580952225 is about 87068.6638521575. The cubic root of 7580952225 is about 1964.4512384843.

It can be divided in two parts, 7580 and 952225, that added together give a triangular number (959805 = T1385).

The spelling of 7580952225 in words is "seven billion, five hundred eighty million, nine hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 71 75 77 99 105 165 175 213 225 231 275 315 355 385 495 497 525 639 693 781 825 1065 1155 1491 1575 1775 1925 2343 2475 2485 3195 3465 3905 4473 5325 5467 5775 6163 7029 7455 11715 12425 15975 16401 17325 18489 19525 22365 27335 30815 35145 37275 43141 49203 55467 58575 67793 82005 92445 111825 129423 136675 154075 175725 203379 215705 246015 277335 338965 388269 410025 437573 462225 474551 610137 647115 1016895 1078525 1230075 1312719 1386675 1423653 1694825 1941345 2187865 2372755 3050685 3063011 3235575 3938157 4270959 4813303 5084475 6563595 7118265 9189033 9706725 10939325 11863775 14439909 15253425 15315055 19690785 21354795 24066515 27567099 32817975 33693121 35591325 43319727 45945165 72199545 76575275 98453925 101079363 106773975 120332575 137835495 168465605 216598635 229725825 303238089 360997725 505396815 689177475 842328025 1082993175 1516190445 2526984075 7580952225