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4202496 = 2133319
BaseRepresentation
bin10000000010000000000000
321220111202000
4100002000000
52033434441
6230024000
750502114
oct20020000
97814660
104202496
112410441
1214a8000
13b41aac
147b5744
155802b6
hex402000

4202496 has 112 divisors (see below), whose sum is σ = 13106400. Its totient is φ = 1327104.

The previous prime is 4202489. The next prime is 4202501. The reversal of 4202496 is 6942024.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221175 + ... + 221193.

Almost surely, 24202496 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 4202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553200).

4202496 is an abundant number, since it is smaller than the sum of its proper divisors (8903904).

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

4202496 is an equidigital number, since it uses as much as digits as its factorization.

4202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4202496 is about 2049.9990243900. Note that the first 3 decimals coincide. The cubic root of 4202496 is about 161.3748195264.

It can be divided in two parts, 42024 and 96, that multiplied together give a palindrome (4034304).

The spelling of 4202496 in words is "four million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1024 1026 1152 1216 1368 1536 1728 1824 2048 2052 2304 2432 2736 3072 3456 3648 4096 4104 4608 4864 5472 6144 6912 7296 8192 8208 9216 9728 10944 12288 13824 14592 16416 18432 19456 21888 24576 27648 29184 32832 36864 38912 43776 55296 58368 65664 73728 77824 87552 110592 116736 131328 155648 175104 221184 233472 262656 350208 466944 525312 700416 1050624 1400832 2101248 4202496