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3706976 = 257131967
BaseRepresentation
bin1110001001000001100000
320222100000102
432021001200
51422110401
6211241532
743336340
oct16110140
96870012
103706976
112102119
1212a92a8
139ca3a0
146c6d20
154d356b
hex389060

3706976 has 96 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 1368576.

The previous prime is 3706961. The next prime is 3707021. The reversal of 3706976 is 6796073.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55295 + ... + 55361.

It is an arithmetic number, because the mean of its divisors is an integer number (99960).

Almost surely, 23706976 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 3706976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798080).

3706976 is an abundant number, since it is smaller than the sum of its proper divisors (5889184).

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

3706976 is a wasteful number, since it uses less digits than its factorization.

3706976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 3706976 is about 1925.3508771131. The cubic root of 3706976 is about 154.7651803360.

The spelling of 3706976 in words is "three million, seven hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 67 76 91 104 112 133 134 152 182 208 224 247 266 268 304 364 416 469 494 532 536 608 728 871 938 988 1064 1072 1273 1456 1729 1742 1876 1976 2128 2144 2546 2912 3458 3484 3752 3952 4256 5092 6097 6916 6968 7504 7904 8911 10184 12194 13832 13936 15008 16549 17822 20368 24388 27664 27872 33098 35644 40736 48776 55328 66196 71288 97552 115843 132392 142576 195104 231686 264784 285152 463372 529568 926744 1853488 3706976