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87402984 = 23317298389
BaseRepresentation
bin1010011010110…
…10100111101000
320002110112100120
411031122213220
5134333343414
612401203240
72110625124
oct515324750
9202415316
1087402984
1145378179
1225330520
1315152b56
14b872584
157a172a9
hex535a9e8

87402984 has 128 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 25862144.

The previous prime is 87402949. The next prime is 87403003. The reversal of 87402984 is 48920478.

It is a super-2 number, since 2×874029842 = 15278563224208512, which contains 22 as substring.

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, 982012 + ... + 982100.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 287402984 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 87402984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

87402984 is an abundant number, since it is smaller than the sum of its proper divisors (157541016).

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

87402984 is a wasteful number, since it uses less digits than its factorization.

87402984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87402984 is about 9348.9563053851. The cubic root of 87402984 is about 443.7878622987.

The spelling of 87402984 in words is "eighty-seven million, four hundred two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 83 87 89 102 116 136 166 174 178 204 232 249 267 332 348 356 408 493 498 534 664 696 712 986 996 1068 1411 1479 1513 1972 1992 2136 2407 2581 2822 2958 3026 3944 4233 4539 4814 5162 5644 5916 6052 7221 7387 7743 8466 9078 9628 10324 11288 11832 12104 14442 14774 15486 16932 18156 19256 20648 22161 28884 29548 30972 33864 36312 40919 43877 44322 57768 59096 61944 81838 87754 88644 122757 125579 131631 163676 175508 177288 214223 245514 251158 263262 327352 351016 376737 428446 491028 502316 526524 642669 753474 856892 982056 1004632 1053048 1285338 1506948 1713784 2570676 3013896 3641791 5141352 7283582 10925373 14567164 21850746 29134328 43701492 87402984