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4006212 = 2237371289
BaseRepresentation
bin1111010010000101000100
321112112111020
433102011010
52011144322
6221511140
746023630
oct17220504
97475436
104006212
112296a21
1214124b0
13aa3652
14763dc0
1554205c
hex3d2144

4006212 has 48 divisors (see below), whose sum is σ = 10980480. Its totient is φ = 1112832.

The previous prime is 4006201. The next prime is 4006229. The reversal of 4006212 is 2126004.

It is a junction number, because it is equal to n+sod(n) for n = 4006191 and 4006200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464 + ... + 3752.

It is an arithmetic number, because the mean of its divisors is an integer number (228760).

Almost surely, 24006212 is an apocalyptic number.

4006212 is a gapful number since it is divisible by the number (42) 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 4006212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490240).

4006212 is an abundant number, since it is smaller than the sum of its proper divisors (6974268).

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

4006212 is a wasteful number, since it uses less digits than its factorization.

4006212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4006212 is about 2001.5523975155. The cubic root of 4006212 is about 158.8222371556.

The spelling of 4006212 in words is "four million, six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1289 1554 2578 3108 3867 5156 7734 9023 15468 18046 27069 36092 47693 54138 95386 108276 143079 190772 286158 333851 572316 667702 1001553 1335404 2003106 4006212