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2969472 = 273111937
BaseRepresentation
bin1011010100111110000000
312120212100110
423110332000
51230010342
6143351320
734145232
oct13247600
95525313
102969472
111749010
12bb2540
137cc7ac
14574252
153d9c9c
hex2d4f80

2969472 has 128 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 829440.

The previous prime is 2969471. The next prime is 2969479. The reversal of 2969472 is 2749692.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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

Its product of digits (54432) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2969472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2969471) 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, 80238 + ... + 80274.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

22969472 is an apocalyptic number.

2969472 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 2969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

2969472 is an abundant number, since it is smaller than the sum of its proper divisors (6332928).

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

2969472 is a wasteful number, since it uses less digits than its factorization.

2969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 72 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 2969472 is about 1723.2155988152. The cubic root of 2969472 is about 143.7340771273.

The spelling of 2969472 in words is "two million, nine hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 37 38 44 48 57 64 66 74 76 88 96 111 114 128 132 148 152 176 192 209 222 228 264 296 304 352 384 407 418 444 456 528 592 608 627 703 704 814 836 888 912 1056 1184 1216 1221 1254 1406 1408 1628 1672 1776 1824 2109 2112 2368 2432 2442 2508 2812 3256 3344 3552 3648 4218 4224 4736 4884 5016 5624 6512 6688 7104 7296 7733 8436 9768 10032 11248 13024 13376 14208 15466 16872 19536 20064 22496 23199 26048 26752 30932 33744 39072 40128 44992 46398 52096 61864 67488 78144 80256 89984 92796 123728 134976 156288 185592 247456 269952 371184 494912 742368 989824 1484736 2969472