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675077088 = 25377114149
BaseRepresentation
bin101000001111001…
…101101111100000
31202001021110200010
4220033031233200
52340304431323
6150553124520
722505026530
oct5017155740
91661243603
10675077088
11317077454
1216a0b9740
13a9b242ca
146592b4c0
153e3ecc93
hex283cdbe0

675077088 has 96 divisors (see below), whose sum is σ = 2053900800. Its totient is φ = 190149120.

The previous prime is 675077077. The next prime is 675077093. The reversal of 675077088 is 880770576.

675077088 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 40638 + ... + 54786.

It is an arithmetic number, because the mean of its divisors is an integer number (21394800).

Almost surely, 2675077088 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 675077088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026950400).

675077088 is an abundant number, since it is smaller than the sum of its proper divisors (1378823712).

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

675077088 is a wasteful number, since it uses less digits than its factorization.

675077088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14240 (or 14232 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The square root of 675077088 is about 25982.2456304300. The cubic root of 675077088 is about 877.2387137748.

It can be divided in two parts, 6750 and 77088, that added together give a palindrome (83838).

The spelling of 675077088 in words is "six hundred seventy-five million, seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 14149 15904 23856 28298 42447 47712 56596 84894 99043 113192 169788 198086 226384 297129 339576 396172 452768 594258 679152 792344 1004579 1188516 1358304 1584688 2009158 2377032 3013737 3169376 4018316 4754064 6027474 7032053 8036632 9508128 12054948 14064106 16073264 21096159 24109896 28128212 32146528 42192318 48219792 56256424 84384636 96439584 112512848 168769272 225025696 337538544 675077088