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40900608 = 211327317
BaseRepresentation
bin1001110000000…
…1100000000000
32211221222002100
42130001200000
540432304413
64020350400
71004435520
oct234014000
984858070
1040900608
11210a6261
1211845400
138620758
145609680
1538cda73
hex2701800

40900608 has 144 divisors (see below), whose sum is σ = 135429840. Its totient is φ = 11649024.

The previous prime is 40900603. The next prime is 40900609. The reversal of 40900608 is 80600904.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40900603) 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, 128866 + ... + 129182.

It is an arithmetic number, because the mean of its divisors is an integer number (940485).

Almost surely, 240900608 is an apocalyptic number.

40900608 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 40900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67714920).

40900608 is an abundant number, since it is smaller than the sum of its proper divisors (94529232).

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

40900608 is a wasteful number, since it uses less digits than its factorization.

40900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40900608 is about 6395.3583167794. The cubic root of 40900608 is about 344.5428601962.

The spelling of 40900608 in words is "forty million, nine hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 317 336 384 448 504 512 576 634 672 768 896 951 1008 1024 1152 1268 1344 1536 1792 1902 2016 2048 2219 2304 2536 2688 2853 3072 3584 3804 4032 4438 4608 5072 5376 5706 6144 6657 7168 7608 8064 8876 9216 10144 10752 11412 13314 14336 15216 16128 17752 18432 19971 20288 21504 22824 26628 30432 32256 35504 39942 40576 43008 45648 53256 60864 64512 71008 79884 81152 91296 106512 121728 129024 142016 159768 162304 182592 213024 243456 284032 319536 324608 365184 426048 486912 568064 639072 649216 730368 852096 973824 1136128 1278144 1460736 1704192 1947648 2272256 2556288 2921472 3408384 4544512 5112576 5842944 6816768 10225152 13633536 20450304 40900608