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671878480 = 245713412251
BaseRepresentation
bin101000000011000…
…000110101010000
31201211020222000011
4220003000311100
52334000102410
6150400404304
722435605250
oct5003006520
91654228004
10671878480
11315292279
12169016694
13a9274440
1465337960
153deba18a
hex280c0d50

671878480 has 160 divisors (see below), whose sum is σ = 1970373888. Its totient is φ = 207360000.

The previous prime is 671878447. The next prime is 671878481. The reversal of 671878480 is 84878176.

It is a super-2 number, since 2×6718784802 = 902841383774220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671878481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297355 + ... + 299605.

Almost surely, 2671878480 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 671878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985186944).

671878480 is an abundant number, since it is smaller than the sum of its proper divisors (1298495408).

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

671878480 is a wasteful number, since it uses less digits than its factorization.

671878480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The square root of 671878480 is about 25920.6188197736. The cubic root of 671878480 is about 875.8510272584.

The spelling of 671878480 in words is "six hundred seventy-one million, eight hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 41 52 56 65 70 80 82 91 104 112 130 140 164 182 205 208 260 280 287 328 364 410 455 520 533 560 574 656 728 820 910 1040 1066 1148 1435 1456 1640 1820 2132 2251 2296 2665 2870 3280 3640 3731 4264 4502 4592 5330 5740 7280 7462 8528 9004 10660 11255 11480 14924 15757 18008 18655 21320 22510 22960 29263 29848 31514 36016 37310 42640 45020 58526 59696 63028 74620 78785 90040 92291 117052 126056 146315 149240 157570 180080 184582 204841 234104 252112 292630 298480 315140 369164 409682 461455 468208 585260 630280 646037 738328 819364 922910 1024205 1170520 1199783 1260560 1292074 1476656 1638728 1845820 2048410 2341040 2399566 2584148 3230185 3277456 3691640 4096820 4799132 5168296 5998915 6460370 7383280 8193640 8398481 9598264 10336592 11997830 12920740 16387280 16796962 19196528 23995660 25841480 33593924 41992405 47991320 51682960 67187848 83984810 95982640 134375696 167969620 335939240 671878480