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87449152 = 2672953127
BaseRepresentation
bin1010011011001…
…01111001000000
320002112212200111
411031211321000
5134341333102
612402201104
72111206540
oct515457100
9202485614
1087449152
11453a992a
1225353194
131516ab7b
14b885320
157a25cd7
hex5365e40

87449152 has 112 divisors (see below), whose sum is σ = 210677760. Its totient is φ = 35223552.

The previous prime is 87449147. The next prime is 87449179. The reversal of 87449152 is 25194478.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nialpdrome in base 14.

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, 688513 + ... + 688639.

Almost surely, 287449152 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 87449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

87449152 is an abundant number, since it is smaller than the sum of its proper divisors (123228608).

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

87449152 is a wasteful number, since it uses less digits than its factorization.

87449152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 87449152 is about 9351.4251320320. The cubic root of 87449152 is about 443.8659877456.

The spelling of 87449152 in words is "eighty-seven million, four hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 64 106 112 116 127 203 212 224 232 254 371 406 424 448 464 508 742 812 848 889 928 1016 1484 1537 1624 1696 1778 1856 2032 2968 3074 3248 3392 3556 3683 4064 5936 6148 6496 6731 7112 7366 8128 10759 11872 12296 12992 13462 14224 14732 21518 23744 24592 25781 26924 28448 29464 43036 47117 49184 51562 53848 56896 58928 86072 94234 98368 103124 107696 117856 172144 188468 195199 206248 215392 235712 344288 376936 390398 412496 430784 688576 753872 780796 824992 1366393 1507744 1561592 1649984 2732786 3015488 3123184 5465572 6246368 10931144 12492736 21862288 43724576 87449152