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4630656440 = 2351941148609
BaseRepresentation
bin1000101000000001…
…00011010110111000
3102221201101201110002
410110000203112320
533440422001230
62043255012132
7222515634044
oct42400432670
912851351402
104630656440
111a669807a3
12a9296a048
1358a491cc7
1431cddb024
151c17eb545
hex1140235b8

4630656440 has 64 divisors (see below), whose sum is σ = 11234916000. Its totient is φ = 1711964160.

The previous prime is 4630656413. The next prime is 4630656467. The reversal of 4630656440 is 446560364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4630656413) and next prime (4630656467).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4630656394 and 4630656403.

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, 43145 + ... + 105464.

Almost surely, 24630656440 is an apocalyptic number.

4630656440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4630656440 is an abundant number, since it is smaller than the sum of its proper divisors (6604259560).

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

4630656440 is a wasteful number, since it uses less digits than its factorization.

4630656440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148680 (or 148676 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 4630656440 is about 68048.9268100534. The cubic root of 4630656440 is about 1666.7898748027.

The spelling of 4630656440 in words is "four billion, six hundred thirty million, six hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 6232 7790 15580 31160 148609 297218 594436 743045 1188872 1486090 2823571 2972180 5647142 5944360 6092969 11294284 12185938 14117855 22588568 24371876 28235710 30464845 48743752 56471420 60929690 112942840 115766411 121859380 231532822 243718760 463065644 578832055 926131288 1157664110 2315328220 4630656440