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2974752 = 253311313
BaseRepresentation
bin1011010110010000100000
312121010121000
423112100200
51230143002
6143432000
734166514
oct13262040
95533530
102974752
111751a80
12bb5600
13802011
14576144
153db61c
hex2d6420

2974752 has 96 divisors (see below), whose sum is σ = 9495360. Its totient is φ = 898560.

The previous prime is 2974747. The next prime is 2974757. The reversal of 2974752 is 2574792.

It is an interprime number because it is at equal distance from previous prime (2974747) and next prime (2974757).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2974757) 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, 9348 + ... + 9660.

It is an arithmetic number, because the mean of its divisors is an integer number (98910).

22974752 is an apocalyptic number.

2974752 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 2974752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747680).

2974752 is an abundant number, since it is smaller than the sum of its proper divisors (6520608).

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

2974752 is a wasteful number, since it uses less digits than its factorization.

2974752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2974752 is about 1724.7469379593. The cubic root of 2974752 is about 143.8192175791.

It can be divided in two parts, 297 and 4752, that multiplied together give a square (1411344 = 11882).

The spelling of 2974752 in words is "two million, nine hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 313 352 396 432 528 594 626 792 864 939 1056 1188 1252 1584 1878 2376 2504 2817 3168 3443 3756 4752 5008 5634 6886 7512 8451 9504 10016 10329 11268 13772 15024 16902 20658 22536 27544 30048 30987 33804 41316 45072 55088 61974 67608 82632 90144 92961 110176 123948 135216 165264 185922 247896 270432 330528 371844 495792 743688 991584 1487376 2974752