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40375152 = 2433194919
BaseRepresentation
bin1001101000000…
…1001101110000
32210222021022000
42122001031300
540314001102
64001214000
71000116546
oct232011560
983867260
1040375152
11208774a4
1211631300
13849852c
14550dd96
15382801c
hex2681370

40375152 has 80 divisors (see below), whose sum is σ = 122016000. Its totient is φ = 12747456.

The previous prime is 40375147. The next prime is 40375157. The reversal of 40375152 is 25157304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40375147) and next prime (40375157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40375157) 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, 5749 + ... + 10667.

It is an arithmetic number, because the mean of its divisors is an integer number (1525200).

Almost surely, 240375152 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 40375152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61008000).

40375152 is an abundant number, since it is smaller than the sum of its proper divisors (81640848).

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

40375152 is a wasteful number, since it uses less digits than its factorization.

40375152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40375152 is about 6354.1444742782. The cubic root of 40375152 is about 343.0610322989.

The spelling of 40375152 in words is "forty million, three hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 4919 8208 9838 14757 19676 29514 39352 44271 59028 78704 88542 93461 118056 132813 177084 186922 236112 265626 280383 354168 373844 531252 560766 708336 747688 841149 1062504 1121532 1495376 1682298 2125008 2243064 2523447 3364596 4486128 5046894 6729192 10093788 13458384 20187576 40375152