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87801012 = 223213434363
BaseRepresentation
bin1010011101110…
…11110010110100
320010012202100100
411032323302310
5134434113022
612413514100
72114203425
oct516736264
9203182310
1087801012
114561a222
12254a2930
1315262080
14b93764c
157a951ac
hex53bbcb4

87801012 has 72 divisors (see below), whose sum is σ = 244628384. Its totient is φ = 26381376.

The previous prime is 87800987. The next prime is 87801013. The reversal of 87801012 is 21010878.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87801013) 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, 17943 + ... + 22305.

Almost surely, 287801012 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 87801012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122314192).

87801012 is an abundant number, since it is smaller than the sum of its proper divisors (156827372).

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

87801012 is a wasteful number, since it uses less digits than its factorization.

87801012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 87801012 is about 9370.2194211235. The cubic root of 87801012 is about 444.4605034660.

The spelling of 87801012 in words is "eighty-seven million, eight hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 4363 5031 6708 8726 10062 13089 17452 20124 26178 39267 52356 56719 78534 113438 157068 170157 187609 226876 340314 375218 510471 562827 680628 750436 1020942 1125654 1688481 2041884 2251308 2438917 3376962 4877834 6753924 7316751 9755668 14633502 21950253 29267004 43900506 87801012