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87421776 = 24313294831
BaseRepresentation
bin1010011010111…
…11001101010000
320002111111010120
411031133031100
5134334444101
612401430240
72111033661
oct515371520
9202444116
1087421776
1145390302
122533b380
131515b580
14b879368
157a1cb36
hex535f350

87421776 has 80 divisors (see below), whose sum is σ = 251650560. Its totient is φ = 25966080.

The previous prime is 87421759. The next prime is 87421777. The reversal of 87421776 is 67712478.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87421777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15681 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (3145632).

Almost surely, 287421776 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 87421776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125825280).

87421776 is an abundant number, since it is smaller than the sum of its proper divisors (164228784).

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

87421776 is a wasteful number, since it uses less digits than its factorization.

87421776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 4878 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 87421776 is about 9349.9612833423. The cubic root of 87421776 is about 443.8196654230.

The spelling of 87421776 in words is "eighty-seven million, four hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 4831 6032 9048 9662 14493 18096 19324 28986 38648 57972 62803 77296 115944 125606 140099 188409 231888 251212 280198 376818 420297 502424 560396 753636 840594 1004848 1120792 1507272 1681188 1821287 2241584 3014544 3362376 3642574 5463861 6724752 7285148 10927722 14570296 21855444 29140592 43710888 87421776