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1385337472 = 2723569827
BaseRepresentation
bin101001010010010…
…1001001010000000
310120112202102202021
41102210221022000
510314121244342
6345244331224
746221113521
oct12244511200
93515672667
101385337472
11650a94602
12327b43b14
1319101691c
14d1db6848
158194a567
hex52929280

1385337472 has 64 divisors (see below), whose sum is σ = 2888395200. Its totient is φ = 660588544.

The previous prime is 1385337451. The next prime is 1385337487. The reversal of 1385337472 is 2747335831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13853374722 = 3838319822654701568, which contains 22 as substring.

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, 1674723 + ... + 1675549.

It is an arithmetic number, because the mean of its divisors is an integer number (45131175).

Almost surely, 21385337472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444197600).

1385337472 is an abundant number, since it is smaller than the sum of its proper divisors (1503057728).

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

1385337472 is an equidigital number, since it uses as much as digits as its factorization.

1385337472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The square root of 1385337472 is about 37220.1218697629. The cubic root of 1385337472 is about 1114.7697975695.

The spelling of 1385337472 in words is "one billion, three hundred eighty-five million, three hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 569 736 827 1138 1472 1654 2276 2944 3308 4552 6616 9104 13087 13232 18208 19021 26174 26464 36416 38042 52348 52928 72832 76084 104696 105856 152168 209392 304336 418784 470563 608672 837568 941126 1217344 1675136 1882252 2434688 3764504 7529008 10822949 15058016 21645898 30116032 43291796 60232064 86583592 173167184 346334368 692668736 1385337472