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4411440672 = 253192418553
BaseRepresentation
bin1000001101111000…
…10011111000100000
3102101102220101221120
410012330103320200
533013312100142
62005424252240
7214214425032
oct40674237040
912342811846
104411440672
111964163741
12a31471080
13553c3a532
142dbc55c52
151ac4487ec
hex106f13e20

4411440672 has 48 divisors (see below), whose sum is σ = 12189512160. Its totient is φ = 1393085952.

The previous prime is 4411440623. The next prime is 4411440701. The reversal of 4411440672 is 2760441144.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×44114406723 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207453 + ... + 1211100.

It is an arithmetic number, because the mean of its divisors is an integer number (253948170).

Almost surely, 24411440672 is an apocalyptic number.

It is an amenable number.

4411440672 is an abundant number, since it is smaller than the sum of its proper divisors (7778071488).

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

4411440672 is a wasteful number, since it uses less digits than its factorization.

4411440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418585 (or 2418577 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4411440672 is about 66418.6771322645. The cubic root of 4411440672 is about 1640.0615523200.

The spelling of 4411440672 in words is "four billion, four hundred eleven million, four hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2418553 4837106 7255659 9674212 14511318 19348424 29022636 38696848 45952507 58045272 77393696 91905014 116090544 137857521 183810028 232181088 275715042 367620056 551430084 735240112 1102860168 1470480224 2205720336 4411440672