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2994992 = 2471121317
BaseRepresentation
bin1011011011001100110000
312122011100122
423123030300
51231314432
6144105412
734312520
oct13331460
95564318
102994992
111766200
121005268
1380b2b0
1457d680
153e2612
hex2db330

2994992 has 120 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1013760.

The previous prime is 2994983. The next prime is 2994997.

2994992 is nontrivially palindromic in base 10.

2994992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2994997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176168 + ... + 176184.

22994992 is an apocalyptic number.

2994992 is a gapful number since it is divisible by the number (22) 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 2994992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

2994992 is an abundant number, since it is smaller than the sum of its proper divisors (5316976).

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

2994992 is a wasteful number, since it uses less digits than its factorization.

2994992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 50 counting only the distinct ones).

The product of its digits is 104976, while the sum is 44.

The square root of 2994992 is about 1730.6045186581. The cubic root of 2994992 is about 144.1446591568.

The spelling of 2994992 in words is "two million, nine hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 16 17 22 26 28 34 44 52 56 68 77 88 91 104 112 119 121 136 143 154 176 182 187 208 221 238 242 272 286 308 364 374 442 476 484 572 616 728 748 847 884 952 968 1001 1144 1232 1309 1456 1496 1547 1573 1694 1768 1904 1936 2002 2057 2288 2431 2618 2992 3094 3146 3388 3536 4004 4114 4862 5236 6188 6292 6776 8008 8228 9724 10472 11011 12376 12584 13552 14399 16016 16456 17017 19448 20944 22022 24752 25168 26741 28798 32912 34034 38896 44044 53482 57596 68068 88088 106964 115192 136136 176176 187187 213928 230384 272272 374374 427856 748748 1497496 2994992