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2949492 = 2237133773
BaseRepresentation
bin1011010000000101110100
312112211221110
423100011310
51223340432
6143115020
734033050
oct13200564
95484843
102949492
111734aa7
12ba2a70
137c3680
1456ac60
153d3dcc
hex2d0174

2949492 has 96 divisors (see below), whose sum is σ = 8818432. Its totient is φ = 746496.

The previous prime is 2949491. The next prime is 2949493.

2949492 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2949491) and next prime (2949493).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2949492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40368 + ... + 40440.

22949492 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 2949492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409216).

2949492 is an abundant number, since it is smaller than the sum of its proper divisors (5868940).

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

2949492 is a wasteful number, since it uses less digits than its factorization.

2949492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 2949492 is about 1717.4085128472. The cubic root of 2949492 is about 143.4109813042.

The spelling of 2949492 in words is "two million, nine hundred forty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 73 74 78 84 91 111 146 148 156 182 219 222 259 273 292 364 438 444 481 511 518 546 777 876 949 962 1022 1036 1092 1443 1533 1554 1898 1924 2044 2701 2847 2886 3066 3108 3367 3796 5402 5694 5772 6132 6643 6734 8103 10101 10804 11388 13286 13468 16206 18907 19929 20202 26572 32412 35113 37814 39858 40404 56721 70226 75628 79716 105339 113442 140452 210678 226884 245791 421356 491582 737373 983164 1474746 2949492