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662009088 = 28313611087
BaseRepresentation
bin100111011101010…
…111010100000000
31201010200112202010
4213131113110000
52323433242323
6145405052520
722255661436
oct4735272400
91633615663
10662009088
1130a761254
12165857140
13a71ca170
1463cc8d56
153d1bac93
hex27757500

662009088 has 144 divisors (see below), whose sum is σ = 1930320896. Its totient is φ = 200171520.

The previous prime is 662009063. The next prime is 662009113. The reversal of 662009088 is 880900266.

It is an interprime number because it is at equal distance from previous prime (662009063) and next prime (662009113).

It is a super-4 number, since 4×6620090884 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608481 + ... + 609567.

Almost surely, 2662009088 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 662009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965160448).

662009088 is an abundant number, since it is smaller than the sum of its proper divisors (1268311808).

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

662009088 is a wasteful number, since it uses less digits than its factorization.

662009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 662009088 is about 25729.5372675064. The cubic root of 662009088 is about 871.5413237400.

The spelling of 662009088 in words is "six hundred sixty-two million, nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 183 192 208 244 256 312 366 384 416 488 624 732 768 793 832 976 1087 1248 1464 1586 1664 1952 2174 2379 2496 2928 3172 3261 3328 3904 4348 4758 4992 5856 6344 6522 7808 8696 9516 9984 11712 12688 13044 14131 15616 17392 19032 23424 25376 26088 28262 34784 38064 42393 46848 50752 52176 56524 66307 69568 76128 84786 101504 104352 113048 132614 139136 152256 169572 198921 203008 208704 226096 265228 278272 304512 339144 397842 417408 452192 530456 609024 678288 795684 834816 861991 904384 1060912 1356576 1591368 1723982 1808768 2121824 2585973 2713152 3182736 3447964 3617536 4243648 5171946 5426304 6365472 6895928 8487296 10343892 10852608 12730944 13791856 16974592 20687784 25461888 27583712 41375568 50923776 55167424 82751136 110334848 165502272 220669696 331004544 662009088