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73244864 = 2671189167
BaseRepresentation
bin1000101110110…
…10000011000000
312002211020001202
410113122003000
5122222313424
611133520332
71546366610
oct427320300
9162736052
1073244864
1138387a50
12206430a8
1312236774
149a28a40
15666c2ae
hex45da0c0

73244864 has 112 divisors (see below), whose sum is σ = 184343040. Its totient is φ = 28047360.

The previous prime is 73244863. The next prime is 73244893. The reversal of 73244864 is 46844237.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (73244861) 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, 438509 + ... + 438675.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 273244864 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 73244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

73244864 is an abundant number, since it is smaller than the sum of its proper divisors (111098176).

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

73244864 is a wasteful number, since it uses less digits than its factorization.

73244864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 73244864 is about 8558.3213307284. The cubic root of 73244864 is about 418.4006902365.

The spelling of 73244864 in words is "seventy-three million, two hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 89 112 154 167 176 178 224 308 334 352 356 448 616 623 668 704 712 979 1169 1232 1246 1336 1424 1837 1958 2338 2464 2492 2672 2848 3674 3916 4676 4928 4984 5344 5696 6853 7348 7832 9352 9968 10688 12859 13706 14696 14863 15664 18704 19936 25718 27412 29392 29726 31328 37408 39872 51436 54824 58784 59452 62656 74816 102872 104041 109648 117568 118904 163493 205744 208082 219296 237808 326986 411488 416164 438592 475616 653972 822976 832328 951232 1144451 1307944 1664656 2288902 2615888 3329312 4577804 5231776 6658624 9155608 10463552 18311216 36622432 73244864