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4208952 = 23311107149
BaseRepresentation
bin10000000011100100111000
321220211121010
4100003210320
52034141302
6230113520
750526666
oct20034470
97824533
104208952
112415280
1214ab8a0
13b44a07
147b7c36
1558216c
hex403938

4208952 has 64 divisors (see below), whose sum is σ = 11664000. Its totient is φ = 1255040.

The previous prime is 4208947. The next prime is 4208959. The reversal of 4208952 is 2598024.

4208952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4208959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28174 + ... + 28322.

It is an arithmetic number, because the mean of its divisors is an integer number (182250).

Almost surely, 24208952 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 4208952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000).

4208952 is an abundant number, since it is smaller than the sum of its proper divisors (7455048).

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

4208952 is a wasteful number, since it uses less digits than its factorization.

4208952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4208952 is about 2051.5730549995. The cubic root of 4208952 is about 161.4574135205.

The spelling of 4208952 in words is "four million, two hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 149 214 264 298 321 428 447 596 642 856 894 1177 1192 1284 1639 1788 2354 2568 3278 3531 3576 4708 4917 6556 7062 9416 9834 13112 14124 15943 19668 28248 31886 39336 47829 63772 95658 127544 175373 191316 350746 382632 526119 701492 1052238 1402984 2104476 4208952