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3813079676 = 2271922332141
BaseRepresentation
bin1110001101000110…
…1111101001111100
3100211201222111222012
43203101233221330
530302122022201
61430211310352
7163330433240
oct34321575174
910751874865
103813079676
11168742521a
128a4bab3b8
13489c96983
142825b8420
15174b515bb
hexe346fa7c

3813079676 has 48 divisors (see below), whose sum is σ = 8063784960. Its totient is φ = 1541177280.

The previous prime is 3813079667. The next prime is 3813079681. The reversal of 3813079676 is 6769703183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102566 + ... + 134706.

It is an arithmetic number, because the mean of its divisors is an integer number (167995520).

Almost surely, 23813079676 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 3813079676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031892480).

3813079676 is an abundant number, since it is smaller than the sum of its proper divisors (4250705284).

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

3813079676 is a wasteful number, since it uses less digits than its factorization.

3813079676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32394 (or 32392 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 3813079676 is about 61750.1390767665. The cubic root of 3813079676 is about 1562.2791138720.

The spelling of 3813079676 in words is "three billion, eight hundred thirteen million, seventy-nine thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 76 133 223 266 446 532 892 1561 3122 4237 6244 8474 16948 29659 32141 59318 64282 118636 128564 224987 449974 610679 899948 1221358 2442716 4274753 7167443 8549506 14334886 17099012 28669772 50172101 100344202 136181417 200688404 272362834 544725668 953269919 1906539838 3813079676