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65369472 = 273783293
BaseRepresentation
bin1111100101011…
…1010110000000
311120000010001120
43321113112000
5113213310342
610253032240
71422426360
oct371272600
9146003046
1065369472
1133999063
1219a85680
1310709c7c
1489789a0
155b13aec
hex3e57580

65369472 has 128 divisors (see below), whose sum is σ = 201519360. Its totient is φ = 18388992.

The previous prime is 65369467. The next prime is 65369489. The reversal of 65369472 is 27496356.

65369472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 222958 + ... + 223250.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 265369472 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 65369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759680).

65369472 is an abundant number, since it is smaller than the sum of its proper divisors (136149888).

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

65369472 is a wasteful number, since it uses less digits than its factorization.

65369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 65369472 is about 8085.1389598448. The cubic root of 65369472 is about 402.8329552114.

It can be divided in two parts, 653 and 69472, that added together give a triangular number (70125 = T374).

The spelling of 65369472 in words is "sixty-five million, three hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 293 332 336 384 448 498 581 586 664 672 879 896 996 1162 1172 1328 1344 1743 1758 1992 2051 2324 2344 2656 2688 3486 3516 3984 4102 4648 4688 5312 6153 6972 7032 7968 8204 9296 9376 10624 12306 13944 14064 15936 16408 18592 18752 24319 24612 27888 28128 31872 32816 37184 37504 48638 49224 55776 56256 65632 72957 74368 97276 98448 111552 112512 131264 145914 170233 194552 196896 223104 262528 291828 340466 389104 393792 510699 583656 680932 778208 787584 1021398 1167312 1361864 1556416 2042796 2334624 2723728 3112832 4085592 4669248 5447456 8171184 9338496 10894912 16342368 21789824 32684736 65369472