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4023972 = 2233193753
BaseRepresentation
bin1111010110011010100100
321120102212000
433112122210
52012231342
6222125300
746126461
oct17263244
97512760
104023972
1122a92a7
121420830
13aab764
1476a668
1554744c
hex3d66a4

4023972 has 96 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1213056.

The previous prime is 4023947. The next prime is 4023973. The reversal of 4023972 is 2793204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4023973) 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, 75898 + ... + 75950.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 24023972 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 4023972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

4023972 is an abundant number, since it is smaller than the sum of its proper divisors (7467228).

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

4023972 is a wasteful number, since it uses less digits than its factorization.

4023972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4023972 is about 2005.9840477930. The cubic root of 4023972 is about 159.0565836347.

The spelling of 4023972 in words is "four million, twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 53 54 57 74 76 106 108 111 114 148 159 171 212 222 228 318 333 342 444 477 513 636 666 684 703 954 999 1007 1026 1332 1406 1431 1908 1961 1998 2014 2052 2109 2812 2862 3021 3922 3996 4028 4218 5724 5883 6042 6327 7844 8436 9063 11766 12084 12654 17649 18126 18981 23532 25308 27189 35298 36252 37259 37962 52947 54378 70596 74518 75924 105894 108756 111777 149036 211788 223554 335331 447108 670662 1005993 1341324 2011986 4023972