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87403472 = 24133741277
BaseRepresentation
bin1010011010110…
…10101111010000
320002110120000122
411031122233100
5134333402342
612401205412
72110626422
oct515325720
9202416018
1087403472
1145378582
1225330868
1315153140
14b872812
157a174d2
hex535abd0

87403472 has 80 divisors (see below), whose sum is σ = 192560592. Its totient is φ = 38154240.

The previous prime is 87403469. The next prime is 87403483. The reversal of 87403472 is 27430478.

It can be written as a sum of positive squares in 8 ways, for example, as 15085456 + 72318016 = 3884^2 + 8504^2 .

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, 315398 + ... + 315674.

Almost surely, 287403472 is an apocalyptic number.

87403472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87403472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96280296).

87403472 is an abundant number, since it is smaller than the sum of its proper divisors (105157120).

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

87403472 is a wasteful number, since it uses less digits than its factorization.

87403472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 87403472 is about 9348.9824045187. The cubic root of 87403472 is about 443.7886882357.

The spelling of 87403472 in words is "eighty-seven million, four hundred three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 37 41 52 74 82 104 148 164 208 277 296 328 481 533 554 592 656 962 1066 1108 1517 1924 2132 2216 3034 3601 3848 4264 4432 6068 7202 7696 8528 10249 11357 12136 14404 19721 20498 22714 24272 28808 39442 40996 45428 57616 78884 81992 90856 133237 147641 157768 163984 181712 266474 295282 315536 420209 532948 590564 840418 1065896 1181128 1680836 2131792 2362256 3361672 5462717 6723344 10925434 21850868 43701736 87403472