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3738843252 = 2233172817247
BaseRepresentation
bin1101111011011010…
…0011100001110100
3100122120021220202000
43132312203201310
530124120441002
61415000215300
7161436433434
oct33666434164
910576256660
103738843252
111649530301
1288416a530
134777a3ab1
142767b22c4
1516d38a61c
hexdeda3874

3738843252 has 96 divisors (see below), whose sum is σ = 10301437440. Its totient is φ = 1168634880.

The previous prime is 3738843221. The next prime is 3738843253. The reversal of 3738843252 is 2523488373.

It is a junction number, because it is equal to n+sod(n) for n = 3738843198 and 3738843207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738843253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512293 + ... + 519539.

It is an arithmetic number, because the mean of its divisors is an integer number (107306640).

Almost surely, 23738843252 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 3738843252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150718720).

3738843252 is an abundant number, since it is smaller than the sum of its proper divisors (6562594188).

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

3738843252 is a wasteful number, since it uses less digits than its factorization.

3738843252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558 (or 7550 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3738843252 is about 61146.0812481062. The cubic root of 3738843252 is about 1552.0739842552.

The spelling of 3738843252 in words is "three billion, seven hundred thirty-eight million, eight hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 281 306 459 562 612 843 918 1124 1686 1836 2529 3372 4777 5058 7247 7587 9554 10116 14331 14494 15174 19108 21741 28662 28988 30348 42993 43482 57324 65223 85986 86964 123199 128979 130446 171972 195669 246398 257958 260892 369597 391338 492796 515916 739194 782676 1108791 1478388 2036407 2217582 3326373 4072814 4435164 6109221 6652746 8145628 12218442 13305492 18327663 24436884 34618919 36655326 54982989 69237838 73310652 103856757 109965978 138475676 207713514 219931956 311570271 415427028 623140542 934710813 1246281084 1869421626 3738843252