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64420480 = 2751731191
BaseRepresentation
bin1111010110111…
…1101010000000
311111012220021201
43311233222000
5112442423410
610220430544
71411364545
oct365575200
9144186251
1064420480
1133400073
12196a8454
1310467037
1487acbcc
1559c783a
hex3d6fa80

64420480 has 128 divisors (see below), whose sum is σ = 169205760. Its totient is φ = 23347200.

The previous prime is 64420451. The next prime is 64420481. The reversal of 64420480 is 8402446.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (64420481) 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, 337185 + ... + 337375.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 264420480 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 64420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

64420480 is an abundant number, since it is smaller than the sum of its proper divisors (104785280).

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

64420480 is a wasteful number, since it uses less digits than its factorization.

64420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 64420480 is about 8026.2369763171. The cubic root of 64420480 is about 400.8740885318.

The spelling of 64420480 in words is "sixty-four million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 128 136 155 160 170 191 248 272 310 320 340 382 496 527 544 620 640 680 764 955 992 1054 1088 1240 1360 1528 1910 1984 2108 2176 2480 2635 2720 3056 3247 3820 3968 4216 4960 5270 5440 5921 6112 6494 7640 8432 9920 10540 10880 11842 12224 12988 15280 16235 16864 19840 21080 23684 24448 25976 29605 30560 32470 33728 42160 47368 51952 59210 61120 64940 67456 84320 94736 100657 103904 118420 122240 129880 168640 189472 201314 207808 236840 259760 337280 378944 402628 415616 473680 503285 519520 757888 805256 947360 1006570 1039040 1610512 1894720 2013140 2078080 3221024 3789440 4026280 6442048 8052560 12884096 16105120 32210240 64420480