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665201152 = 2971147359
BaseRepresentation
bin100111101001100…
…010101000000000
31201100200201102201
4213221202220000
52330242414102
6150001322544
722325054650
oct4751425000
91640621381
10665201152
11311541520
12166936454
13a7a77065
14644ba360
153d5eb987
hex27a62a00

665201152 has 160 divisors (see below), whose sum is σ = 1697034240. Its totient is φ = 252948480.

The previous prime is 665201137. The next prime is 665201183. The reversal of 665201152 is 251102566.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 665201152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852749 + ... + 1853107.

It is an arithmetic number, because the mean of its divisors is an integer number (10606464).

Almost surely, 2665201152 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 665201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848517120).

665201152 is an abundant number, since it is smaller than the sum of its proper divisors (1031833088).

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

665201152 is a wasteful number, since it uses less digits than its factorization.

665201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 665201152 is about 25791.4937915585. The cubic root of 665201152 is about 872.9398726164.

The spelling of 665201152 in words is "six hundred sixty-five million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 47 56 64 77 88 94 112 128 154 176 188 224 256 308 329 352 359 376 448 512 517 616 658 704 718 752 896 1034 1232 1316 1408 1436 1504 1792 2068 2464 2513 2632 2816 2872 3008 3584 3619 3949 4136 4928 5026 5264 5632 5744 6016 7238 7898 8272 9856 10052 10528 11488 12032 14476 15796 16544 16873 19712 20104 21056 22976 24064 27643 28952 31592 33088 33746 39424 40208 42112 45952 55286 57904 63184 66176 67492 80416 84224 91904 110572 115808 118111 126368 132352 134984 160832 168448 183808 185603 221144 231616 236222 252736 264704 269968 321664 371206 442288 463232 472444 505472 539936 643328 742412 884576 926464 944888 1010944 1079872 1286656 1299221 1484824 1769152 1852928 1889776 2021888 2159744 2598442 2969648 3538304 3779552 4319488 5196884 5939296 7076608 7559104 8638976 10393768 11878592 14153216 15118208 20787536 23757184 30236416 41575072 47514368 60472832 83150144 95028736 166300288 332600576 665201152