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42303816 = 23331391409
BaseRepresentation
bin1010000101100…
…0000101001000
32221121020221000
42201120011020
541312210231
64110415000
71022401512
oct241300510
987536830
1042303816
1121974535
1212201460
1389c2359
145892bb2
153aa96e6
hex2858148

42303816 has 64 divisors (see below), whose sum is σ = 118440000. Its totient is φ = 13989888.

The previous prime is 42303799. The next prime is 42303817. The reversal of 42303816 is 61830324.

It is a happy number.

It is a super-2 number, since 2×423038162 = 3579225696323712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42303816.

It is not an unprimeable number, because it can be changed into a prime (42303817) 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, 29320 + ... + 30728.

It is an arithmetic number, because the mean of its divisors is an integer number (1850625).

Almost surely, 242303816 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 42303816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59220000).

42303816 is an abundant number, since it is smaller than the sum of its proper divisors (76136184).

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

42303816 is a wasteful number, since it uses less digits than its factorization.

42303816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42303816 is about 6504.1383749118. The cubic root of 42303816 is about 348.4388043722.

The spelling of 42303816 in words is "forty-two million, three hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1409 1668 2502 2818 3336 3753 4227 5004 5636 7506 8454 10008 11272 12681 15012 16908 25362 30024 33816 38043 50724 76086 101448 152172 195851 304344 391702 587553 783404 1175106 1566808 1762659 2350212 3525318 4700424 5287977 7050636 10575954 14101272 21151908 42303816