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87997008 = 243112109139
BaseRepresentation
bin1010011111010…
…11101001010000
320010120201012110
411033223221100
5140011401013
612422025320
72115651021
oct517535120
9203521173
1087997008
1145743500
1225578240
1315300348
14b988c48
157ad32c3
hex53eba50

87997008 has 120 divisors (see below), whose sum is σ = 253976800. Its totient is φ = 26231040.

The previous prime is 87997001. The next prime is 87997009. The reversal of 87997008 is 80079978.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87997001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633003 + ... + 633141.

Almost surely, 287997008 is an apocalyptic number.

87997008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87997008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126988400).

87997008 is an abundant number, since it is smaller than the sum of its proper divisors (165979792).

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

87997008 is a wasteful number, since it uses less digits than its factorization.

87997008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The square root of 87997008 is about 9380.6720441555. The cubic root of 87997008 is about 444.7909770352.

The spelling of 87997008 in words is "eighty-seven million, nine hundred ninety-seven thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 121 132 139 176 218 242 264 278 327 363 417 436 484 528 556 654 726 834 872 968 1112 1199 1308 1452 1529 1668 1744 1936 2224 2398 2616 2904 3058 3336 3597 4587 4796 5232 5808 6116 6672 7194 9174 9592 12232 13189 14388 15151 16819 18348 19184 24464 26378 28776 30302 33638 36696 39567 45453 50457 52756 57552 60604 67276 73392 79134 90906 100914 105512 121208 134552 158268 166661 181812 201828 211024 242416 269104 316536 333322 363624 403656 499983 633072 666644 727248 807312 999966 1333288 1833271 1999932 2666576 3666542 3999864 5499813 7333084 7999728 10999626 14666168 21999252 29332336 43998504 87997008