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3973975380 = 2232537596693
BaseRepresentation
bin1110110011011110…
…0000110101010100
3101020221201212101100
43230313200311110
531114314203010
61454200030100
7200323143024
oct35467406524
911227655340
103973975380
11175a229581
1292aa62330
134b440c02b
14299adba84
15183d342c0
hexecde0d54

3973975380 has 72 divisors (see below), whose sum is σ = 12380207112. Its totient is φ = 1031083776.

The previous prime is 3973975373. The next prime is 3973975427. The reversal of 3973975380 is 835793793.

It is a happy number.

3973975380 is a `hidden beast` number, since 39 + 73 + 9 + 7 + 538 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 503822916 + 3470152464 = 22446^2 + 58908^2 .

It is a super-2 number, since 2×39739753802 = 31584960641692288800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291687 + ... + 305006.

It is an arithmetic number, because the mean of its divisors is an integer number (171947321).

Almost surely, 23973975380 is an apocalyptic number.

3973975380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3973975380 is an abundant number, since it is smaller than the sum of its proper divisors (8406231732).

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

3973975380 is a wasteful number, since it uses less digits than its factorization.

3973975380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596745 (or 596740 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3973975380 is about 63039.4747757308. The cubic root of 3973975380 is about 1583.9509330148.

The spelling of 3973975380 in words is "three billion, nine hundred seventy-three million, nine hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 596693 1193386 1790079 2386772 2983465 3580158 5370237 5966930 7160316 8950395 10740474 11933860 17900790 21480948 22077641 26851185 35801580 44155282 53702370 66232923 88310564 107404740 110388205 132465846 198698769 220776410 264931692 331164615 397397538 441552820 662329230 794795076 993493845 1324658460 1986987690 3973975380