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3973469472 = 25337656989
BaseRepresentation
bin1110110011010110…
…0101010100100000
3101020220210011102000
43230311211110200
531114202010342
61454141124000
7200315635050
oct35465452440
911226704360
103973469472
111759a13475
1292a859600
134b429298b
14299a09560
15183c8444c
hexecd65520

3973469472 has 96 divisors (see below), whose sum is σ = 13244918400. Its totient is φ = 1135275264.

The previous prime is 3973469459. The next prime is 3973469477. The reversal of 3973469472 is 2749643793.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3973469477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322447 + ... + 334542.

It is an arithmetic number, because the mean of its divisors is an integer number (137967900).

Almost surely, 23973469472 is an apocalyptic number.

3973469472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3973469472 is an abundant number, since it is smaller than the sum of its proper divisors (9271448928).

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

3973469472 is a wasteful number, since it uses less digits than its factorization.

3973469472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657015 (or 657001 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3973469472 is about 63035.4620194062. The cubic root of 3973469472 is about 1583.8837150631.

The spelling of 3973469472 in words is "three billion, nine hundred seventy-three million, four hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 656989 1313978 1970967 2627956 3941934 4598923 5255912 5912901 7883868 9197846 10511824 11825802 13796769 15767736 17738703 18395692 21023648 23651604 27593538 31535472 35477406 36791384 41390307 47303208 55187076 63070944 70954812 73582768 82780614 94606416 110374152 124170921 141909624 147165536 165561228 189212832 220748304 248341842 283819248 331122456 441496608 496683684 567638496 662244912 993367368 1324489824 1986734736 3973469472