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87157248 = 293179317
BaseRepresentation
bin1010011000111…
…10101000000000
320002000001021020
411030132220000
5134303012443
612352025440
72105552523
oct514365000
9202001236
1087157248
114521a592
1225232280
1315098049
14b80abba
1579b9583
hex531ea00

87157248 has 80 divisors (see below), whose sum is σ = 234226080. Its totient is φ = 28798976.

The previous prime is 87157247. The next prime is 87157277. The reversal of 87157248 is 84275178.

It is not an unprimeable number, because it can be changed into a prime (87157247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274786 + ... + 275102.

It is an arithmetic number, because the mean of its divisors is an integer number (2927826).

Almost surely, 287157248 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 87157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117113040).

87157248 is an abundant number, since it is smaller than the sum of its proper divisors (147068832).

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

87157248 is a wasteful number, since it uses less digits than its factorization.

87157248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 87157248 is about 9335.8046252050. The cubic root of 87157248 is about 443.3715644696.

The spelling of 87157248 in words is "eighty-seven million, one hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 317 358 384 512 537 634 716 768 951 1074 1268 1432 1536 1902 2148 2536 2864 3804 4296 5072 5728 7608 8592 10144 11456 15216 17184 20288 22912 30432 34368 40576 45824 56743 60864 68736 81152 91648 113486 121728 137472 162304 170229 226972 243456 274944 340458 453944 486912 680916 907888 1361832 1815776 2723664 3631552 5447328 7263104 10894656 14526208 21789312 29052416 43578624 87157248