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87228848 = 24719179229
BaseRepresentation
bin1010011001100…
…00000110110000
320002010200111002
411030300012300
5134312310343
612353341132
72106301340
oct514600660
9202120432
1087228848
1145269363
12252677a8
13150c1805
14b828d20
1579d08b8
hex53301b0

87228848 has 80 divisors (see below), whose sum is σ = 205344000. Its totient is φ = 35064576.

The previous prime is 87228803. The next prime is 87228893. The reversal of 87228848 is 84882278.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87228803) and next prime (87228893).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380798 + ... + 381026.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 287228848 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 87228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672000).

87228848 is an abundant number, since it is smaller than the sum of its proper divisors (118115152).

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

87228848 is a wasteful number, since it uses less digits than its factorization.

87228848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 458752, while the sum is 47.

The square root of 87228848 is about 9339.6385369028. The cubic root of 87228848 is about 443.4929416957.

The spelling of 87228848 in words is "eighty-seven million, two hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 179 229 266 304 358 458 532 716 916 1064 1253 1432 1603 1832 2128 2506 2864 3206 3401 3664 4351 5012 6412 6802 8702 10024 12824 13604 17404 20048 23807 25648 27208 30457 34808 40991 47614 54416 60914 69616 81982 95228 121828 163964 190456 243656 286937 327928 380912 487312 573874 655856 778829 1147748 1557658 2295496 3115316 4590992 5451803 6230632 10903606 12461264 21807212 43614424 87228848