Search a number
-
+
97536432 = 2437331877
BaseRepresentation
bin1011101000001…
…00100110110000
320210112100211110
411310010212300
5144432131212
613402313320
72263021530
oct564044660
9223470743
1097536432
1150069624
12287b8840
1317290386
14cd4d4c0
158869a3c
hex5d049b0

97536432 has 80 divisors (see below), whose sum is σ = 289164032. Its totient is φ = 27751680.

The previous prime is 97536431. The next prime is 97536437. The reversal of 97536432 is 23463579.

It is not an unprimeable number, because it can be changed into a prime (97536431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110778 + ... + 111654.

Almost surely, 297536432 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 97536432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144582016).

97536432 is an abundant number, since it is smaller than the sum of its proper divisors (191627600).

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

97536432 is a wasteful number, since it uses less digits than its factorization.

97536432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1220 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 97536432 is about 9876.0534627958. The cubic root of 97536432 is about 460.3155239165.

The spelling of 97536432 in words is "ninety-seven million, five hundred thirty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 331 336 662 877 993 1324 1754 1986 2317 2631 2648 3508 3972 4634 5262 5296 6139 6951 7016 7944 9268 10524 12278 13902 14032 15888 18417 18536 21048 24556 27804 36834 37072 42096 49112 55608 73668 98224 111216 147336 290287 294672 580574 870861 1161148 1741722 2032009 2322296 3483444 4064018 4644592 6096027 6966888 8128036 12192054 13933776 16256072 24384108 32512144 48768216 97536432