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42208608 = 25313311091
BaseRepresentation
bin1010000100000…
…0110101100000
32221102102022210
42201000311200
541301133413
64104402120
71021524111
oct241006540
987372283
1042208608
1121909a52
1212176340
13898ac10
14586a208
153a8b3c3
hex2840d60

42208608 has 96 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 12556800.

The previous prime is 42208589. The next prime is 42208619. The reversal of 42208608 is 80680224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38143 + ... + 39233.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 242208608 is an apocalyptic number.

42208608 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 42208608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

42208608 is an abundant number, since it is smaller than the sum of its proper divisors (81073824).

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

42208608 is a wasteful number, since it uses less digits than its factorization.

42208608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42208608 is about 6496.8152197827. The cubic root of 42208608 is about 348.1772118967.

The spelling of 42208608 in words is "forty-two million, two hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1091 1209 1248 1488 1612 2182 2418 2976 3224 3273 4364 4836 6448 6546 8728 9672 12896 13092 14183 17456 19344 26184 28366 33821 34912 38688 42549 52368 56732 67642 85098 101463 104736 113464 135284 170196 202926 226928 270568 340392 405852 439673 453856 541136 680784 811704 879346 1082272 1319019 1361568 1623408 1758692 2638038 3246816 3517384 5276076 7034768 10552152 14069536 21104304 42208608