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3775538416 = 241321499371
BaseRepresentation
bin1110000100001010…
…0010010011110000
3100202010100020001011
43201002202103300
530213014212131
61422350520304
7162363355426
oct34102422360
910663306034
103775538416
111668213991
12894506094
13482281300
1427b605116
151716d80b1
hexe10a24f0

3775538416 has 60 divisors (see below), whose sum is σ = 7975103400. Its totient is φ = 1730676480.

The previous prime is 3775538411. The next prime is 3775538441. The reversal of 3775538416 is 6148355773.

It is a self number, because there is not a number n which added to its sum of digits gives 3775538416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3775538411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398211 + ... + 407581.

It is an arithmetic number, because the mean of its divisors is an integer number (132918390).

Almost surely, 23775538416 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 3775538416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987551700).

3775538416 is an abundant number, since it is smaller than the sum of its proper divisors (4199564984).

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

3775538416 is a wasteful number, since it uses less digits than its factorization.

3775538416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554 (or 9535 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The square root of 3775538416 is about 61445.4100482697. The cubic root of 3775538416 is about 1557.1351123209.

The spelling of 3775538416 in words is "three billion, seven hundred seventy-five million, five hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 149 169 208 298 338 596 676 1192 1352 1937 2384 2704 3874 7748 9371 15496 18742 25181 30992 37484 50362 74968 100724 121823 149936 201448 243646 402896 487292 974584 1396279 1583699 1949168 2792558 3167398 5585116 6334796 11170232 12669592 18151627 22340464 25339184 36303254 72606508 145213016 235971151 290426032 471942302 943884604 1887769208 3775538416