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87973496 = 2313192112
BaseRepresentation
bin1010011111001…
…01111001111000
320010112111221122
411033211321320
5140010122441
612421324412
72115522332
oct517457170
9203474848
1087973496
1145727876
1225566708
13152c2730
14b980452
157acb34b
hex53e5e78

87973496 has 48 divisors (see below), whose sum is σ = 187878600. Its totient is φ = 38283840.

The previous prime is 87973489. The next prime is 87973499. The reversal of 87973496 is 69437978.

It is a super-3 number, since 3×879734963 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87973499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416831 + ... + 417041.

Almost surely, 287973496 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 87973496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93939300).

87973496 is an abundant number, since it is smaller than the sum of its proper divisors (99905104).

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

87973496 is a wasteful number, since it uses less digits than its factorization.

87973496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 245 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 53.

The square root of 87973496 is about 9379.4187453168. The cubic root of 87973496 is about 444.7513588056.

The spelling of 87973496 in words is "eighty-seven million, nine hundred seventy-three thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 211 247 422 494 844 988 1688 1976 2743 4009 5486 8018 10972 16036 21944 32072 44521 52117 89042 104234 178084 208468 356168 416936 578773 845899 1157546 1691798 2315092 3383596 4630184 6767192 10996687 21993374 43986748 87973496