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40689168 = 24313197331
BaseRepresentation
bin1001101100110…
…1111000010000
32211120020001020
42123031320100
540404023133
64012035440
71002565212
oct233157020
984506036
1040689168
1120a71413
1211762b80
138578440
1455925b2
15388b0b3
hex26cde10

40689168 has 80 divisors (see below), whose sum is σ = 114117696. Its totient is φ = 12418560.

The previous prime is 40689161. The next prime is 40689191. The reversal of 40689168 is 86198604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40689161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122763 + ... + 123093.

Almost surely, 240689168 is an apocalyptic number.

40689168 is a gapful number since it is divisible by the number (48) 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 40689168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058848).

40689168 is an abundant number, since it is smaller than the sum of its proper divisors (73428528).

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

40689168 is a wasteful number, since it uses less digits than its factorization.

40689168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 40689168 is about 6378.8061578951. The cubic root of 40689168 is about 343.9481172880.

The spelling of 40689168 in words is "forty million, six hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 197 208 312 331 394 591 624 662 788 993 1182 1324 1576 1986 2364 2561 2648 3152 3972 4303 4728 5122 5296 7683 7944 8606 9456 10244 12909 15366 15888 17212 20488 25818 30732 34424 40976 51636 61464 65207 68848 103272 122928 130414 195621 206544 260828 391242 521656 782484 847691 1043312 1564968 1695382 2543073 3129936 3390764 5086146 6781528 10172292 13563056 20344584 40689168