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64422480 = 2435416547
BaseRepresentation
bin1111010111000…
…0001001010000
311111020000000210
43311300021100
5112443004410
610220444120
71411403433
oct365601120
9144200023
1064422480
1133401621
12196a9640
1310467c15
1487ad81a
1559c8220
hex3d70250

64422480 has 80 divisors (see below), whose sum is σ = 204611904. Its totient is φ = 16757760.

The previous prime is 64422461. The next prime is 64422481. The reversal of 64422480 is 8422446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64422481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6567 + ... + 13113.

Almost surely, 264422480 is an apocalyptic number.

64422480 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 64422480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102305952).

64422480 is an abundant number, since it is smaller than the sum of its proper divisors (140189424).

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

64422480 is a wasteful number, since it uses less digits than its factorization.

64422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 64422480 is about 8026.3615667374. The cubic root of 64422480 is about 400.8782370049.

The spelling of 64422480 in words is "sixty-four million, four hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 6547 9840 13094 19641 26188 32735 39282 52376 65470 78564 98205 104752 130940 157128 196410 261880 268427 314256 392820 523760 536854 785640 805281 1073708 1342135 1571280 1610562 2147416 2684270 3221124 4026405 4294832 5368540 6442248 8052810 10737080 12884496 16105620 21474160 32211240 64422480