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87976242 = 23223417173
BaseRepresentation
bin1010011111001…
…10100100110010
320010112122201100
411033212210302
5140010214432
612421345230
72115533334
oct517464462
9203478640
1087976242
1145729942
1225568216
13152c3a63
14b981454
157acc07c
hex53e6932

87976242 has 96 divisors (see below), whose sum is σ = 209454336. Its totient is φ = 26611200.

The previous prime is 87976223. The next prime is 87976243. The reversal of 87976242 is 24267978.

Its product of digits (338688) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (87976243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205118 + ... + 1205190.

It is an arithmetic number, because the mean of its divisors is an integer number (2181816).

Almost surely, 287976242 is an apocalyptic number.

87976242 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 87976242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104727168).

87976242 is an abundant number, since it is smaller than the sum of its proper divisors (121478094).

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

87976242 is a wasteful number, since it uses less digits than its factorization.

87976242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 87976242 is about 9379.5651285121. The cubic root of 87976242 is about 444.7559862391.

The spelling of 87976242 in words is "eighty-seven million, nine hundred seventy-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 41 46 69 71 73 82 123 138 142 146 207 213 219 246 369 414 426 438 639 657 738 943 1278 1314 1633 1679 1886 2829 2911 2993 3266 3358 4899 5037 5183 5658 5822 5986 8487 8733 8979 9798 10074 10366 14697 15111 15549 16974 17466 17958 26199 26937 29394 30222 31098 46647 52398 53874 66953 68839 93294 119209 133906 137678 200859 206517 212503 238418 357627 401718 413034 425006 602577 619551 637509 715254 1072881 1205154 1239102 1275018 1912527 2145762 3825054 4887569 9775138 14662707 29325414 43988121 87976242