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3874838464 = 26722335303
BaseRepresentation
bin1110011011110101…
…0101011111000000
3101000001012012002201
43212331111133000
530413424312324
61440255122544
7165010404100
oct34675253700
911001165081
103874838464
111709277542
12901813454
13499a0b333
1428a893200
1517a2a0444
hexe6f557c0

3874838464 has 84 divisors (see below), whose sum is σ = 8984583504. Its totient is φ = 1653206016.

The previous prime is 3874838447. The next prime is 3874838477. The reversal of 3874838464 is 4648384783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728037 + ... + 733339.

Almost surely, 23874838464 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 3874838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492291752).

3874838464 is an abundant number, since it is smaller than the sum of its proper divisors (5109745040).

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

3874838464 is a wasteful number, since it uses less digits than its factorization.

3874838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5545 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 55.

The square root of 3874838464 is about 62248.2004880462. The cubic root of 3874838464 is about 1570.6685002552.

The spelling of 3874838464 in words is "three billion, eight hundred seventy-four million, eight hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 233 392 448 466 784 932 1568 1631 1864 3136 3262 3728 5303 6524 7456 10606 11417 13048 14912 21212 22834 26096 37121 42424 45668 52192 74242 84848 91336 104384 148484 169696 182672 259847 296968 339392 365344 519694 593936 730688 1039388 1187872 1235599 2078776 2375744 2471198 4157552 4942396 8315104 8649193 9884792 16630208 17298386 19769584 34596772 39539168 60544351 69193544 79078336 121088702 138387088 242177404 276774176 484354808 553548352 968709616 1937419232 3874838464