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2423952 = 243331181
BaseRepresentation
bin1001001111110010010000
311120011001000
421033302100
51110031302
6123542000
726413626
oct11176220
94504030
102423952
111406173
1298a900
1366b3bb
14471516
1532d31c
hex24fc90

2423952 has 80 divisors (see below), whose sum is σ = 7221760. Its totient is φ = 777600.

The previous prime is 2423951. The next prime is 2423969. The reversal of 2423952 is 2593242.

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 (2423951) 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, 13302 + ... + 13482.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

22423952 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 2423952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610880).

2423952 is an abundant number, since it is smaller than the sum of its proper divisors (4797808).

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

2423952 is a wasteful number, since it uses less digits than its factorization.

2423952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2423952 is about 1556.9046213561. The cubic root of 2423952 is about 134.3305125492.

It can be divided in two parts, 2423 and 952, that added together give a cube (3375 = 153).

The spelling of 2423952 in words is "two million, four hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 181 186 216 248 279 362 372 432 496 543 558 724 744 837 1086 1116 1448 1488 1629 1674 2172 2232 2896 3258 3348 4344 4464 4887 5611 6516 6696 8688 9774 11222 13032 13392 16833 19548 22444 26064 33666 39096 44888 50499 67332 78192 89776 100998 134664 151497 201996 269328 302994 403992 605988 807984 1211976 2423952