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3801642 = 2313174761
BaseRepresentation
bin1110100000001000101010
321011010212120
432200020222
51433123032
6213252110
744212335
oct16401052
97133776
103801642
112167259
121334036
13a314c0
1470d61c
1550162c
hex3a022a

3801642 has 64 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1059840.

The previous prime is 3801631. The next prime is 3801661. The reversal of 3801642 is 2461083.

It is a happy number.

It is an Ulam number.

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, 62292 + ... + 62352.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 23801642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3801642 is an abundant number, since it is smaller than the sum of its proper divisors (5197782).

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

3801642 is a wasteful number, since it uses less digits than its factorization.

3801642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3801642 is about 1949.7799875883. The cubic root of 3801642 is about 156.0715483764.

The spelling of 3801642 in words is "three million, eight hundred one thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 61 78 94 102 122 141 183 221 282 366 442 611 663 793 799 1037 1222 1326 1586 1598 1833 2074 2379 2397 2867 3111 3666 4758 4794 5734 6222 8601 10387 13481 17202 20774 26962 31161 37271 40443 48739 62322 74542 80886 97478 111813 146217 223626 292434 633607 1267214 1900821 3801642