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64426416 = 24319411723
BaseRepresentation
bin1111010111000…
…1000110110000
311111020012102120
43311301012300
5112443121131
610220514240
71411421055
oct365610660
9144205376
1064426416
113340457a
12196ab980
1310469952
1487b102c
1559c9496
hex3d711b0

64426416 has 80 divisors (see below), whose sum is σ = 179571840. Its totient is φ = 19837440.

The previous prime is 64426409. The next prime is 64426423. The reversal of 64426416 is 61462446.

64426416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64426409) and next prime (64426423).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 36531 + ... + 38253.

It is an arithmetic number, because the mean of its divisors is an integer number (2244648).

Almost surely, 264426416 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 64426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89785920).

64426416 is an abundant number, since it is smaller than the sum of its proper divisors (115145424).

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

64426416 is a wasteful number, since it uses less digits than its factorization.

64426416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1788 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 64426416 is about 8026.6067550367. The cubic root of 64426416 is about 400.8864009491.

The spelling of 64426416 in words is "sixty-four million, four hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1723 1968 2337 3116 3446 4674 5169 6232 6892 9348 10338 12464 13784 18696 20676 27568 32737 37392 41352 65474 70643 82704 98211 130948 141286 196422 211929 261896 282572 392844 423858 523792 565144 785688 847716 1130288 1342217 1571376 1695432 2684434 3390864 4026651 5368868 8053302 10737736 16106604 21475472 32213208 64426416