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40428216 = 23323159307
BaseRepresentation
bin1001101000111…
…0001010111000
32211001222002100
42122032022320
540322200331
64002303400
71000430343
oct232161270
984058070
1040428216
1120903354
1211657b60
1384b672a
14552545a
153838ae6
hex268e2b8

40428216 has 96 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 12778560.

The previous prime is 40428211. The next prime is 40428217. The reversal of 40428216 is 61282404.

It is a self number, because there is not a number n which added to its sum of digits gives 40428216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40428211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131535 + ... + 131841.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 240428216 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 40428216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657600).

40428216 is an abundant number, since it is smaller than the sum of its proper divisors (74886984).

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

40428216 is a wasteful number, since it uses less digits than its factorization.

40428216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40428216 is about 6358.3186456798. The cubic root of 40428216 is about 343.2112585349.

The spelling of 40428216 in words is "forty million, four hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 59 62 72 93 118 124 177 186 236 248 279 307 354 372 472 531 558 614 708 744 921 1062 1116 1228 1416 1829 1842 2124 2232 2456 2763 3658 3684 4248 5487 5526 7316 7368 9517 10974 11052 14632 16461 18113 19034 21948 22104 28551 32922 36226 38068 43896 54339 57102 65844 72452 76136 85653 108678 114204 131688 144904 163017 171306 217356 228408 326034 342612 434712 561503 652068 685224 1123006 1304136 1684509 2246012 3369018 4492024 5053527 6738036 10107054 13476072 20214108 40428216