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2949984 = 253210243
BaseRepresentation
bin1011010000001101100000
312112212121200
423100031200
51223344414
6143121200
734034352
oct13201540
95485550
102949984
111735404
12ba3200
137c396b
1456b0d2
153d4109
hex2d0360

2949984 has 36 divisors (see below), whose sum is σ = 8389836. Its totient is φ = 983232.

The previous prime is 2949953. The next prime is 2950001. The reversal of 2949984 is 4899492.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4834 + ... + 5409.

It is an arithmetic number, because the mean of its divisors is an integer number (233051).

22949984 is an apocalyptic number.

2949984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2949984 is an abundant number, since it is smaller than the sum of its proper divisors (5439852).

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

2949984 is a wasteful number, since it uses less digits than its factorization.

2949984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10259 (or 10248 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2949984 is about 1717.5517459454. The cubic root of 2949984 is about 143.4189549123.

The spelling of 2949984 in words is "two million, nine hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10243 20486 30729 40972 61458 81944 92187 122916 163888 184374 245832 327776 368748 491664 737496 983328 1474992 2949984