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64625840 = 24517194161
BaseRepresentation
bin1111011010000…
…1110010110000
311111121022222122
43312201302300
5113021011330
610225053412
71413211346
oct366416260
9144538878
1064625840
1133530394
1219787268
1310509656
148823996
155a185e5
hex3da1cb0

64625840 has 160 divisors (see below), whose sum is σ = 174363840. Its totient is φ = 22118400.

The previous prime is 64625831. The next prime is 64625851. The reversal of 64625840 is 4852646.

64625840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 64625840.

It is an unprimeable number.

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, 1059410 + ... + 1059470.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 264625840 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 64625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

64625840 is an abundant number, since it is smaller than the sum of its proper divisors (109738000).

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

64625840 is a wasteful number, since it uses less digits than its factorization.

64625840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 64625840 is about 8039.0198407517. The cubic root of 64625840 is about 401.2996063189.

The spelling of 64625840 in words is "sixty-four million, six hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 41 61 68 76 80 82 85 95 122 136 152 164 170 190 205 244 272 304 305 323 328 340 380 410 488 610 646 656 680 697 760 779 820 976 1037 1159 1220 1292 1360 1394 1520 1558 1615 1640 2074 2318 2440 2501 2584 2788 3116 3230 3280 3485 3895 4148 4636 4880 5002 5168 5185 5576 5795 6232 6460 6970 7790 8296 9272 10004 10370 11152 11590 12464 12505 12920 13243 13940 15580 16592 18544 19703 20008 20740 23180 25010 25840 26486 27880 31160 39406 40016 41480 42517 46360 47519 50020 52972 55760 62320 66215 78812 82960 85034 92720 95038 98515 100040 105944 132430 157624 170068 190076 197030 200080 211888 212585 237595 264860 315248 340136 380152 394060 425170 475190 529720 680272 760304 788120 807823 850340 950380 1059440 1576240 1615646 1700680 1900760 3231292 3401360 3801520 4039115 6462584 8078230 12925168 16156460 32312920 64625840