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638944080 = 2435107139179
BaseRepresentation
bin100110000101011…
…000001101010000
31122112021201111120
4212011120031100
52302032202310
6143222442240
721555635505
oct4605301520
91575251446
10638944080
112a8738165
12159b93380
13a24b2928
1460c034ac
153b161b70
hex26158350

638944080 has 160 divisors (see below), whose sum is σ = 2024870400. Its totient is φ = 166642176.

The previous prime is 638944003. The next prime is 638944091. The reversal of 638944080 is 80449836.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3569431 + ... + 3569609.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 2638944080 is an apocalyptic number.

638944080 is a gapful number since it is divisible by the number (60) 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 638944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).

638944080 is an abundant number, since it is smaller than the sum of its proper divisors (1385926320).

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

638944080 is a wasteful number, since it uses less digits than its factorization.

638944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 638944080 is about 25277.3432148238. The cubic root of 638944080 is about 861.2996754019.

The spelling of 638944080 in words is "six hundred thirty-eight million, nine hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 139 179 214 240 278 321 358 417 428 535 537 556 642 695 716 834 856 895 1070 1074 1112 1284 1390 1432 1605 1668 1712 1790 2085 2140 2148 2224 2568 2685 2780 2864 3210 3336 3580 4170 4280 4296 5136 5370 5560 6420 6672 7160 8340 8560 8592 10740 11120 12840 14320 14873 16680 19153 21480 24881 25680 29746 33360 38306 42960 44619 49762 57459 59492 74365 74643 76612 89238 95765 99524 114918 118984 124405 148730 149286 153224 178476 191530 199048 223095 229836 237968 248810 287295 297460 298572 306448 356952 373215 383060 398096 446190 459672 497620 574590 594920 597144 713904 746430 766120 892380 919344 995240 1149180 1189840 1194288 1492860 1532240 1784760 1990480 2298360 2662267 2985720 3569520 4596720 5324534 5971440 7986801 10649068 13311335 15973602 21298136 26622670 31947204 39934005 42596272 53245340 63894408 79868010 106490680 127788816 159736020 212981360 319472040 638944080