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87243948 = 2232112971107
BaseRepresentation
bin1010011001100…
…11110010101100
320002011110012100
411030303302230
5134313301243
612353535100
72106363351
oct514636254
9202143170
1087243948
1145279740
1225274490
13150c864c
14b830628
1579d50d3
hex5333cac

87243948 has 144 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 24931200.

The previous prime is 87243931. The next prime is 87243967. The reversal of 87243948 is 84934278.

It is a super-2 number, since 2×872439482 = 15223012925253408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815311 + ... + 815417.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 287243948 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 87243948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

87243948 is an abundant number, since it is smaller than the sum of its proper divisors (167497812).

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

87243948 is a wasteful number, since it uses less digits than its factorization.

87243948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 87243948 is about 9340.4468843841. The cubic root of 87243948 is about 443.5185309252.

The spelling of 87243948 in words is "eighty-seven million, two hundred forty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 71 87 99 107 116 132 142 174 198 213 214 261 284 319 321 348 396 426 428 522 638 639 642 781 852 957 963 1044 1177 1276 1278 1284 1562 1914 1926 2059 2343 2354 2556 2871 3103 3124 3531 3828 3852 4118 4686 4708 5742 6177 6206 7029 7062 7597 8236 9309 9372 10593 11484 12354 12412 14058 14124 15194 18531 18618 21186 22649 22791 24708 27927 28116 30388 34133 37062 37236 42372 45298 45582 55854 67947 68266 68373 74124 83567 90596 91164 102399 111708 135894 136532 136746 167134 203841 204798 220313 250701 271788 273492 307197 334268 407682 409596 440626 501402 614394 660939 752103 815364 881252 1002804 1228788 1321878 1504206 1982817 2423443 2643756 3008412 3965634 4846886 7270329 7931268 9693772 14540658 21810987 29081316 43621974 87243948