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4630675440 = 2435191015499
BaseRepresentation
bin1000101000000001…
…00111111111110000
3102221201102200111210
410110000213333300
533440423103230
62043255240120
7222516043326
oct42400477760
912851380453
104630675440
111a66993aa6
12a92979040
1358a49a851
1431d003d16
151c1801eb0
hex114027ff0

4630675440 has 80 divisors (see below), whose sum is σ = 15110640000. Its totient is φ = 1169853696.

The previous prime is 4630675381. The next prime is 4630675463. The reversal of 4630675440 is 445760364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503190 + ... + 512309.

It is an arithmetic number, because the mean of its divisors is an integer number (188883000).

Almost surely, 24630675440 is an apocalyptic number.

4630675440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4630675440 is an abundant number, since it is smaller than the sum of its proper divisors (10479964560).

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

4630675440 is a wasteful number, since it uses less digits than its factorization.

4630675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015534 (or 1015528 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 4630675440 is about 68049.0664153447. The cubic root of 4630675440 is about 1666.7921544626.

The spelling of 4630675440 in words is "four billion, six hundred thirty million, six hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 1015499 2030998 3046497 4061996 5077495 6092994 8123992 10154990 12185988 15232485 16247984 19294481 20309980 24371976 30464970 38588962 40619960 48743952 57883443 60929940 77177924 81239920 96472405 115766886 121859880 154355848 192944810 231533772 243719760 289417215 308711696 385889620 463067544 578834430 771779240 926135088 1157668860 1543558480 2315337720 4630675440