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87190452 = 22334789193
BaseRepresentation
bin1010011001001…
…10101110110100
320002001201211000
411030212232310
5134310043302
612352443300
72106051366
oct514465664
9202051730
1087190452
1145242528
1225249530
13150aa1ab
14b818d36
1579c431c
hex5326bb4

87190452 has 96 divisors (see below), whose sum is σ = 234662400. Its totient is φ = 27979776.

The previous prime is 87190429. The next prime is 87190469. The reversal of 87190452 is 25409178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451668 + ... + 451860.

It is an arithmetic number, because the mean of its divisors is an integer number (2444400).

Almost surely, 287190452 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 87190452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331200).

87190452 is an abundant number, since it is smaller than the sum of its proper divisors (147471948).

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

87190452 is a wasteful number, since it uses less digits than its factorization.

87190452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 87190452 is about 9337.5827707175. The cubic root of 87190452 is about 443.4278605729.

The spelling of 87190452 in words is "eighty-seven million, one hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 89 94 108 141 178 188 193 267 282 356 386 423 534 564 579 772 801 846 1068 1158 1269 1602 1692 1737 2316 2403 2538 3204 3474 4183 4806 5076 5211 6948 8366 9071 9612 10422 12549 16732 17177 18142 20844 25098 27213 34354 36284 37647 50196 51531 54426 68708 75294 81639 103062 108852 112941 150588 154593 163278 206124 225882 244917 309186 326556 451764 463779 489834 618372 807319 927558 979668 1614638 1855116 2421957 3229276 4843914 7265871 9687828 14531742 21797613 29063484 43595226 87190452