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671963904 = 2833671451
BaseRepresentation
bin101000000011010…
…101101100000000
31201211102022012000
4220003111230000
52334010321104
6150402304000
722436412303
oct5003255400
91654368160
10671963904
11315340477
12169058000
13a92a42a1
146535ab3a
153ded5639
hex280d5b00

671963904 has 144 divisors (see below), whose sum is σ = 2018163840. Its totient is φ = 220492800.

The previous prime is 671963891. The next prime is 671963909. The reversal of 671963904 is 409369176.

671963904 is a `hidden beast` number, since 6 + 7 + 1 + 9 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 671963904.

It is not an unprimeable number, because it can be changed into a prime (671963909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462379 + ... + 463829.

Almost surely, 2671963904 is an apocalyptic number.

671963904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009081920).

671963904 is an abundant number, since it is smaller than the sum of its proper divisors (1346199936).

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

671963904 is a wasteful number, since it uses less digits than its factorization.

671963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 671963904 is about 25922.2665675670. The cubic root of 671963904 is about 875.8881448473. Note that the first 3 decimals are identical.

The spelling of 671963904 in words is "six hundred seventy-one million, nine hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 536 576 603 768 804 864 1072 1152 1206 1451 1608 1728 1809 2144 2304 2412 2902 3216 3456 3618 4288 4353 4824 5804 6432 6912 7236 8576 8706 9648 11608 12864 13059 14472 17152 17412 19296 23216 25728 26118 28944 34824 38592 39177 46432 51456 52236 57888 69648 77184 78354 92864 97217 104472 115776 139296 154368 156708 185728 194434 208944 231552 278592 291651 313416 371456 388868 417888 463104 557184 583302 626832 777736 835776 874953 1114368 1166604 1253664 1555472 1671552 1749906 2333208 2507328 2624859 3110944 3343104 3499812 4666416 5014656 5249718 6221888 6999624 9332832 10029312 10499436 12443776 13999248 18665664 20998872 24887552 27998496 37331328 41997744 55996992 74662656 83995488 111993984 167990976 223987968 335981952 671963904