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4061624 = 237294161
BaseRepresentation
bin1111011111100110111000
321122100111112
433133212320
52014432444
6223015452
746344320
oct17374670
97570445
104061624
112324616
12143a588
13ac2938
1477a280
1555369e
hex3df9b8

4061624 has 64 divisors (see below), whose sum is σ = 9374400. Its totient is φ = 1612800.

The previous prime is 4061621. The next prime is 4061633. The reversal of 4061624 is 4261604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4061624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061621) 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, 66554 + ... + 66614.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 24061624 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 4061624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687200).

4061624 is an abundant number, since it is smaller than the sum of its proper divisors (5312776).

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

4061624 is a wasteful number, since it uses less digits than its factorization.

4061624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4061624 is about 2015.3471165038. The cubic root of 4061624 is about 159.5511377778.

It can be divided in two parts, 406 and 1624, that multiplied together give a square (659344 = 8122).

The spelling of 4061624 in words is "four million, sixty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 41 56 58 61 82 116 122 164 203 232 244 287 328 406 427 488 574 812 854 1148 1189 1624 1708 1769 2296 2378 2501 3416 3538 4756 5002 7076 8323 9512 10004 12383 14152 16646 17507 20008 24766 33292 35014 49532 66584 70028 72529 99064 140056 145058 290116 507703 580232 1015406 2030812 4061624