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3763968 = 28313229
BaseRepresentation
bin1110010110111100000000
321002020012020
432112330000
51430421333
6212401440
743664445
oct16267400
97066166
103763968
112140a1a
121316280
13a1a300
146dd9cc
154e53b3
hex396f00

3763968 has 108 divisors (see below), whose sum is σ = 11221560. Its totient is φ = 1118208.

The previous prime is 3763937. The next prime is 3763979. The reversal of 3763968 is 8693673.

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, 129778 + ... + 129806.

Almost surely, 23763968 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 3763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610780).

3763968 is an abundant number, since it is smaller than the sum of its proper divisors (7457592).

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

3763968 is a wasteful number, since it uses less digits than its factorization.

3763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3763968 is about 1940.0948430425. The cubic root of 3763968 is about 155.5542832851.

The spelling of 3763968 in words is "three million, seven hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 169 174 192 208 232 256 312 338 348 377 384 416 464 507 624 676 696 754 768 832 928 1014 1131 1248 1352 1392 1508 1664 1856 2028 2262 2496 2704 2784 3016 3328 3712 4056 4524 4901 4992 5408 5568 6032 7424 8112 9048 9802 9984 10816 11136 12064 14703 16224 18096 19604 21632 22272 24128 29406 32448 36192 39208 43264 48256 58812 64896 72384 78416 96512 117624 129792 144768 156832 235248 289536 313664 470496 627328 940992 1254656 1881984 3763968