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3762945420 = 22351312313919
BaseRepresentation
bin1110000001001001…
…1111110110001100
3100201020122102200220
43200102133312030
530201303223140
61421220551340
7162151336233
oct34022376614
910636572626
103762945420
1116610a2653
12890252550
1347c792430
14279a87b1a
1517054bbd0
hexe049fd8c

3762945420 has 96 divisors (see below), whose sum is σ = 11358842880. Its totient is φ = 925274880.

The previous prime is 3762945419. The next prime is 3762945449. The reversal of 3762945420 is 245492673.

3762945420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958221 + ... + 962139.

It is an arithmetic number, because the mean of its divisors is an integer number (118321280).

Almost surely, 23762945420 is an apocalyptic number.

3762945420 is a gapful number since it is divisible by the number (30) 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 3762945420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679421440).

3762945420 is an abundant number, since it is smaller than the sum of its proper divisors (7595897460).

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

3762945420 is a wasteful number, since it uses less digits than its factorization.

3762945420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3762945420 is about 61342.8514172597. The cubic root of 3762945420 is about 1555.4019521761.

The spelling of 3762945420 in words is "three billion, seven hundred sixty-two million, nine hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1231 2462 3693 3919 4924 6155 7386 7838 11757 12310 14772 15676 16003 18465 19595 23514 24620 32006 36930 39190 47028 48009 50947 58785 64012 73860 78380 80015 96018 101894 117570 152841 160030 192036 203788 235140 240045 254735 305682 320060 480090 509470 611364 764205 960180 1018940 1528410 3056820 4824289 9648578 14472867 19297156 24121445 28945734 48242890 57891468 62715757 72364335 96485780 125431514 144728670 188147271 250863028 289457340 313578785 376294542 627157570 752589084 940736355 1254315140 1881472710 3762945420