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678542480 = 245711591867
BaseRepresentation
bin101000011100011…
…011110010010000
31202021210112021222
4220130123302100
52342201324410
6151155304212
722546341650
oct5034336220
91667715258
10678542480
11319024010
1216b2ab068
13aa768735
1466190360
153e884955
hex2871bc90

678542480 has 160 divisors (see below), whose sum is σ = 2001300480. Its totient is φ = 207797760.

The previous prime is 678542479. The next prime is 678542483. The reversal of 678542480 is 84245876.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (678542483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362507 + ... + 364373.

It is an arithmetic number, because the mean of its divisors is an integer number (12508128).

Almost surely, 2678542480 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 678542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000650240).

678542480 is an abundant number, since it is smaller than the sum of its proper divisors (1322758000).

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

678542480 is a wasteful number, since it uses less digits than its factorization.

678542480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 678542480 is about 26048.8479591709. The cubic root of 678542480 is about 878.7372039115.

The spelling of 678542480 in words is "six hundred seventy-eight million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 59 70 77 80 88 110 112 118 140 154 176 220 236 280 295 308 385 413 440 472 560 590 616 649 770 826 880 944 1180 1232 1298 1540 1652 1867 2065 2360 2596 3080 3245 3304 3734 4130 4543 4720 5192 6160 6490 6608 7468 8260 9086 9335 10384 12980 13069 14936 16520 18172 18670 20537 22715 25960 26138 29872 33040 36344 37340 41074 45430 51920 52276 65345 72688 74680 82148 90860 102685 104552 110153 130690 143759 149360 164296 181720 205370 209104 220306 261380 287518 328592 363440 410740 440612 522760 550765 575036 718795 771071 821480 881224 1045520 1101530 1150072 1211683 1437590 1542142 1642960 1762448 2203060 2300144 2423366 2875180 3084284 3855355 4406120 4846732 5750360 6058415 6168568 7710710 8481781 8812240 9693464 11500720 12116830 12337136 15421420 16963562 19386928 24233660 30842840 33927124 42408905 48467320 61685680 67854248 84817810 96934640 135708496 169635620 339271240 678542480