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40739440 = 2457233163
BaseRepresentation
bin1001101101101…
…0001001110000
32211122210000011
42123122021300
540412130230
64013104304
71003164610
oct233321160
984583004
1040739440
1120aa6165
1211788094
1385952a1
1455a6a40
15389ae2a
hex26da270

40739440 has 80 divisors (see below), whose sum is σ = 112992768. Its totient is φ = 13356288.

The previous prime is 40739393. The next prime is 40739443. The reversal of 40739440 is 4493704.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40739443) 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, 11299 + ... + 14461.

Almost surely, 240739440 is an apocalyptic number.

40739440 is a gapful number since it is divisible by the number (40) 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 40739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56496384).

40739440 is an abundant number, since it is smaller than the sum of its proper divisors (72253328).

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

40739440 is a wasteful number, since it uses less digits than its factorization.

40739440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3206 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 40739440 is about 6382.7454907743. The cubic root of 40739440 is about 344.0897097922.

The spelling of 40739440 in words is "forty million, seven hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3163 3220 6326 6440 12652 12880 15815 22141 25304 31630 44282 50608 63260 72749 88564 110705 126520 145498 177128 221410 253040 290996 354256 363745 442820 509243 581992 727490 885640 1018486 1163984 1454980 1771280 2036972 2546215 2909960 4073944 5092430 5819920 8147888 10184860 20369720 40739440