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3004992 = 26333747
BaseRepresentation
bin1011011101101001000000
312122200002000
423131221000
51232124432
6144224000
734353624
oct13355100
95580060
103004992
111772771
12100b000
13812a03
14583184
153e557c
hex2dda40

3004992 has 112 divisors (see below), whose sum is σ = 9265920. Its totient is φ = 953856.

The previous prime is 3004987. The next prime is 3004993. The reversal of 3004992 is 2994003.

3004992 is nontrivially palindromic in base 11.

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 (3004993) 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, 63913 + ... + 63959.

Almost surely, 23004992 is an apocalyptic number.

3004992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632960).

3004992 is an abundant number, since it is smaller than the sum of its proper divisors (6260928).

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

3004992 is a wasteful number, since it uses less digits than its factorization.

3004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3004992 is about 1733.4912748555. The cubic root of 3004992 is about 144.3049094763.

Adding to 3004992 its reverse (2994003), we get a palindrome (5998995).

The spelling of 3004992 in words is "three million, four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 47 48 54 64 72 74 94 96 108 111 141 144 148 188 192 216 222 282 288 296 333 376 423 432 444 564 576 592 666 752 846 864 888 999 1128 1184 1269 1332 1504 1692 1728 1739 1776 1998 2256 2368 2538 2664 3008 3384 3478 3552 3996 4512 5076 5217 5328 6768 6956 7104 7992 9024 10152 10434 10656 13536 13912 15651 15984 20304 20868 21312 27072 27824 31302 31968 40608 41736 46953 55648 62604 63936 81216 83472 93906 111296 125208 166944 187812 250416 333888 375624 500832 751248 1001664 1502496 3004992