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4273993724 = 22711138231297
BaseRepresentation
bin1111111010111111…
…1111011111111100
3102000212021101011212
43332233333133330
532223120244344
61544034303552
7210625230050
oct37657773774
912025241155
104273993724
1118a3615820
129b3427bb8
13531615290
142c78b7c60
151a034879e
hexfebff7fc

4273993724 has 96 divisors (see below), whose sum is σ = 10062345216. Its totient is φ = 1534049280.

The previous prime is 4273993721. The next prime is 4273993747.

4273993724 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4273993721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3294644 + ... + 3295940.

It is an arithmetic number, because the mean of its divisors is an integer number (104816096).

Almost surely, 24273993724 is an apocalyptic number.

4273993724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4273993724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031172608).

4273993724 is an abundant number, since it is smaller than the sum of its proper divisors (5788351492).

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

4273993724 is a wasteful number, since it uses less digits than its factorization.

4273993724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2153 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 50.

The square root of 4273993724 is about 65375.7885153212. The cubic root of 4273993724 is about 1622.8484312585.

The spelling of 4273993724 in words is "four billion, two hundred seventy-three million, nine hundred ninety-three thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 823 1001 1297 1646 2002 2594 3292 4004 5188 5761 9053 9079 10699 11522 14267 16861 18106 18158 21398 23044 28534 33722 36212 36316 42796 57068 63371 67444 74893 99869 117689 118027 126742 149786 185471 199738 235378 236054 253484 299572 370942 399476 470756 472108 741884 823823 1067431 1298297 1647646 2134862 2596594 3295292 4269724 5193188 7472017 11741741 13876603 14944034 23483482 27753206 29888068 46966964 55506412 82192187 97136221 152642633 164384374 194272442 305285266 328768748 388544884 610570532 1068498431 2136996862 4273993724