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40797328 = 24112131621
BaseRepresentation
bin1001101110100…
…0010010010000
32211202201102011
42123220102100
540421003303
64014232304
71003525435
oct233502220
984681364
1040797328
1121035700
12117b5694
1385b5740
1455bdb8c
1538ad16d
hex26e8490

40797328 has 60 divisors (see below), whose sum is σ = 93625084. Its totient is φ = 17107200.

The previous prime is 40797319. The next prime is 40797329. The reversal of 40797328 is 82379704.

It can be written as a sum of positive squares in 2 ways, for example, as 18215824 + 22581504 = 4268^2 + 4752^2 .

It is not an unprimeable number, because it can be changed into a prime (40797329) 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, 24358 + ... + 25978.

Almost surely, 240797328 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 40797328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46812542).

40797328 is an abundant number, since it is smaller than the sum of its proper divisors (52827756).

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

40797328 is a wasteful number, since it uses less digits than its factorization.

40797328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 40797328 is about 6387.2786067307. The cubic root of 40797328 is about 344.2526087602.

The spelling of 40797328 in words is "forty million, seven hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 1144 1573 1621 1936 2288 3146 3242 6292 6484 12584 12968 17831 21073 25168 25936 35662 42146 71324 84292 142648 168584 196141 231803 285296 337168 392282 463606 784564 927212 1569128 1854424 2549833 3138256 3708848 5099666 10199332 20398664 40797328