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2949072 = 243767131
BaseRepresentation
bin1011001111111111010000
312112211100220
423033333100
51223332242
6143113040
734031610
oct13177720
95484326
102949072
111734755
12ba2780
137c3419
1456aa40
153d3bec
hex2cffd0

2949072 has 80 divisors (see below), whose sum is σ = 8904192. Its totient is φ = 823680.

The previous prime is 2949059. The next prime is 2949077. The reversal of 2949072 is 2709492.

It is a super-2 number, since 2×29490722 = 17394051322368, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949077) 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, 22447 + ... + 22577.

22949072 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 2949072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452096).

2949072 is an abundant number, since it is smaller than the sum of its proper divisors (5955120).

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

2949072 is a wasteful number, since it uses less digits than its factorization.

2949072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2949072 is about 1717.2862312381. The cubic root of 2949072 is about 143.4041738640.

The spelling of 2949072 in words is "two million, nine hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 131 134 168 201 262 268 336 393 402 469 524 536 786 804 917 938 1048 1072 1407 1572 1608 1834 1876 2096 2751 2814 3144 3216 3668 3752 5502 5628 6288 7336 7504 8777 11004 11256 14672 17554 22008 22512 26331 35108 44016 52662 61439 70216 105324 122878 140432 184317 210648 245756 368634 421296 491512 737268 983024 1474536 2949072