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40295472 = 2437432789
BaseRepresentation
bin1001100110110…
…1110000110000
32210211012222220
42121231300300
540303423342
63555401040
7666335340
oct231556060
983735886
1040295472
1120822648
12115b3180
13846b199
1454ccd20
15380e5ec
hex266dc30

40295472 has 80 divisors (see below), whose sum is σ = 121777920. Its totient is φ = 11241216.

The previous prime is 40295459. The next prime is 40295503. The reversal of 40295472 is 27459204.

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, 13054 + ... + 15842.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 240295472 is an apocalyptic number.

40295472 is a gapful number since it is divisible by the number (42) 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 40295472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888960).

40295472 is an abundant number, since it is smaller than the sum of its proper divisors (81482448).

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

40295472 is a wasteful number, since it uses less digits than its factorization.

40295472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 40295472 is about 6347.8714542750. The cubic root of 40295472 is about 342.8352077237.

The spelling of 40295472 in words is "forty million, two hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 2789 3612 4816 5578 7224 8367 11156 14448 16734 19523 22312 33468 39046 44624 58569 66936 78092 117138 119927 133872 156184 234276 239854 312368 359781 468552 479708 719562 839489 937104 959416 1439124 1678978 1918832 2518467 2878248 3357956 5036934 5756496 6715912 10073868 13431824 20147736 40295472