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4273970048 = 27193747497
BaseRepresentation
bin1111111010111111…
…1001101110000000
3102000212020011200222
43332233321232000
532223114020143
61544034002212
7210625101035
oct37657715600
912025204628
104273970048
1118a35a9a57
129b3416368
1353160757a
142c78ad38c
151a0341768
hexfebf9b80

4273970048 has 64 divisors (see below), whose sum is σ = 9205112400. Its totient is φ = 1969754112.

The previous prime is 4273970047. The next prime is 4273970081. The reversal of 4273970048 is 8400793724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42739700482 = 36533639942402244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4273969990 and 4273970008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4273970047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66236 + ... + 113732.

Almost surely, 24273970048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4273970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602556200).

4273970048 is an abundant number, since it is smaller than the sum of its proper divisors (4931142352).

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

4273970048 is a wasteful number, since it uses less digits than its factorization.

4273970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47567 (or 47555 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 4273970048 is about 65375.6074388606. The cubic root of 4273970048 is about 1622.8454346365.

The spelling of 4273970048 in words is "four billion, two hundred seventy-three million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 296 304 592 608 703 1184 1216 1406 2368 2432 2812 4736 5624 11248 22496 44992 47497 89984 94994 189988 379976 759952 902443 1519904 1757389 1804886 3039808 3514778 3609772 6079616 7029556 7219544 14059112 14439088 28118224 28878176 33390391 56236448 57756352 66780782 112472896 115512704 133561564 224945792 267123128 534246256 1068492512 2136985024 4273970048