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40528760208 = 2437318316317
BaseRepresentation
bin100101101111101100…
…111100110110010000
310212121112000100010220
4211233230330312100
51131000330311313
630341343553040
72633224530516
oct455754746620
9125545010126
1040528760208
1116208479452
127a30bbb780
133a8b797221
141d668cc4b6
1510c3131823
hex96fb3cd90

40528760208 has 80 divisors (see below), whose sum is σ = 106208309376. Its totient is φ = 13315138560.

The previous prime is 40528760203. The next prime is 40528760213. The reversal of 40528760208 is 80206782504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40528760203) and next prime (40528760213).

It is a self number, because there is not a number n which added to its sum of digits gives 40528760208.

It is not an unprimeable number, because it can be changed into a prime (40528760203) 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, 6412666 + ... + 6418982.

Almost surely, 240528760208 is an apocalyptic number.

40528760208 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 40528760208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104154688).

40528760208 is an abundant number, since it is smaller than the sum of its proper divisors (65679549168).

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

40528760208 is a wasteful number, since it uses less digits than its factorization.

40528760208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8232 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 40528760208 in words is "forty billion, five hundred twenty-eight million, seven hundred sixty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 1831 3504 3662 5493 6317 7324 10986 12634 14648 18951 21972 25268 29296 37902 43944 50536 75804 87888 101072 133663 151608 267326 303216 400989 461141 534652 801978 922282 1069304 1383423 1603956 1844564 2138608 2766846 3207912 3689128 5533692 6415824 7378256 11067384 11566427 22134768 23132854 34699281 46265708 69398562 92531416 138797124 185062832 277594248 555188496 844349171 1688698342 2533047513 3377396684 5066095026 6754793368 10132190052 13509586736 20264380104 40528760208