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3973685472 = 25334599173
BaseRepresentation
bin1110110011011001…
…1010000011100000
3101020221012010201000
43230312122003200
531114230413342
61454145512000
7200320524561
oct35466320340
911227163630
103973685472
11175a050789
1292a942600
134b433a0a3
14299a64168
15183cc844c
hexecd9a0e0

3973685472 has 48 divisors (see below), whose sum is σ = 11589918480. Its totient is φ = 1324561536.

The previous prime is 3973685449. The next prime is 3973685489. The reversal of 3973685472 is 2745863793.

3973685472 is a `hidden beast` number, since 3 + 97 + 3 + 6 + 8 + 547 + 2 = 666.

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

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

It is a congruent number.

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, 2298723 + ... + 2300450.

It is an arithmetic number, because the mean of its divisors is an integer number (241456635).

Almost surely, 23973685472 is an apocalyptic number.

3973685472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3973685472 is an abundant number, since it is smaller than the sum of its proper divisors (7616233008).

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

3973685472 is a wasteful number, since it uses less digits than its factorization.

3973685472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599192 (or 4599178 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3973685472 is about 63037.1753174268. The cubic root of 3973685472 is about 1583.9124148082.

The spelling of 3973685472 in words is "three billion, nine hundred seventy-three million, six hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4599173 9198346 13797519 18396692 27595038 36793384 41392557 55190076 73586768 82785114 110380152 124177671 147173536 165570228 220760304 248355342 331140456 441520608 496710684 662280912 993421368 1324561824 1986842736 3973685472