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64026972 = 22324779479
BaseRepresentation
bin1111010000111…
…1100101011100
311110110220111100
43310033211130
5112342330342
610204153100
71405135362
oct364174534
9143426440
1064026972
1133161459
1219538790
1310359ba9
148709632
15594ae4c
hex3d0f95c

64026972 has 72 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 20580768.

The previous prime is 64026961. The next prime is 64026973. The reversal of 64026972 is 27962046.

It is a happy number.

64026972 is a `hidden beast` number, since 640 + 2 + 6 + 9 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64026973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133429 + ... + 133907.

It is an arithmetic number, because the mean of its divisors is an integer number (2329600).

Almost surely, 264026972 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 64026972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

64026972 is an abundant number, since it is smaller than the sum of its proper divisors (103704228).

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

64026972 is a wasteful number, since it uses less digits than its factorization.

64026972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 64026972 is about 8001.6855724278. The cubic root of 64026972 is about 400.0561837748.

The spelling of 64026972 in words is "sixty-four million, twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 79 94 141 158 188 237 282 316 423 474 479 564 711 846 948 958 1422 1437 1692 1916 2844 2874 3713 4311 5748 7426 8622 11139 14852 17244 22278 22513 33417 37841 44556 45026 66834 67539 75682 90052 113523 133668 135078 151364 202617 227046 270156 340569 405234 454092 681138 810468 1362276 1778527 3557054 5335581 7114108 10671162 16006743 21342324 32013486 64026972