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3782480 = 245133637
BaseRepresentation
bin1110011011011101010000
321010011120212
432123131100
51432014410
6213023252
744102432
oct16333520
97104525
103782480
112153919
121324b28
13a25870
14706652
154eab05
hex39b750

3782480 has 40 divisors (see below), whose sum is σ = 9473352. Its totient is φ = 1396224.

The previous prime is 3782479. The next prime is 3782491. The reversal of 3782480 is 842873.

It can be written as a sum of positive squares in 4 ways, for example, as 126736 + 3655744 = 356^2 + 1912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779 + ... + 2858.

Almost surely, 23782480 is an apocalyptic number.

It is an amenable number.

3782480 is an abundant number, since it is smaller than the sum of its proper divisors (5690872).

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

3782480 is a wasteful number, since it uses less digits than its factorization.

3782480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 3782480 is about 1944.8598921259. The cubic root of 3782480 is about 155.8088827650.

The spelling of 3782480 in words is "three million, seven hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3637 7274 14548 18185 29096 36370 47281 58192 72740 94562 145480 189124 236405 290960 378248 472810 756496 945620 1891240 3782480