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448966716 = 2231123147881
BaseRepresentation
bin11010110000101…
…011000000111100
31011021210212112220
4122300223000330
51404413413331
6112314525340
714061103602
oct3260530074
91137725486
10448966716
11210480380
12106436850
13720275a3
14438ad872
1529637296
hex1ac2b03c

448966716 has 48 divisors (see below), whose sum is σ = 1192520448. Its totient is φ = 130134400.

The previous prime is 448966709. The next prime is 448966723. The reversal of 448966716 is 617669844.

It is an interprime number because it is at equal distance from previous prime (448966709) and next prime (448966723).

It is a super-2 number, since 2×4489667162 = 403142224151649312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 70905 + ... + 76976.

It is an arithmetic number, because the mean of its divisors is an integer number (24844176).

Almost surely, 2448966716 is an apocalyptic number.

448966716 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

448966716 is an abundant number, since it is smaller than the sum of its proper divisors (743553732).

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

448966716 is a wasteful number, since it uses less digits than its factorization.

448966716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147922 (or 147920 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 448966716 is about 21188.8347013232. The cubic root of 448966716 is about 765.7224530589.

The spelling of 448966716 in words is "four hundred forty-eight million, nine hundred sixty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 147881 295762 443643 591524 887286 1626691 1774572 3253382 3401263 4880073 6506764 6802526 9760146 10203789 13605052 19520292 20407578 37413893 40815156 74827786 112241679 149655572 224483358 448966716