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64235472 = 2437231881
BaseRepresentation
bin1111010100001…
…0011111010000
311110212111111120
43311002133100
5112421013342
610212442240
71406664300
oct365023720
9143774446
1064235472
1133294074
1219619380
1310400a72
148761600
15598caec
hex3d427d0

64235472 has 120 divisors (see below), whose sum is σ = 199487232. Its totient is φ = 17740800.

The previous prime is 64235471. The next prime is 64235489. The reversal of 64235472 is 27453246.

64235472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (64235471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72472 + ... + 73352.

Almost surely, 264235472 is an apocalyptic number.

64235472 is a gapful number since it is divisible by the number (62) 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 64235472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

64235472 is an abundant number, since it is smaller than the sum of its proper divisors (135251760).

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

64235472 is a wasteful number, since it uses less digits than its factorization.

64235472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 924 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 64235472 is about 8014.7034879651. The cubic root of 64235472 is about 400.4899662543.

The spelling of 64235472 in words is "sixty-four million, two hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 372 392 434 496 588 651 744 784 868 881 1176 1302 1488 1519 1736 1762 2352 2604 2643 3038 3472 3524 4557 5208 5286 6076 6167 7048 9114 10416 10572 12152 12334 14096 18228 18501 21144 24304 24668 27311 36456 37002 42288 43169 49336 54622 72912 74004 81933 86338 98672 109244 129507 148008 163866 172676 191177 218488 259014 296016 327732 345352 382354 436976 518028 573531 655464 690704 764708 1036056 1147062 1310928 1338239 1529416 2072112 2294124 2676478 3058832 4014717 4588248 5352956 8029434 9176496 10705912 16058868 21411824 32117736 64235472