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68737248 = 2534231153
BaseRepresentation
bin1000001100011…
…01100011100000
311210100012210000
410012031203200
5120044042443
610453140000
71463154066
oct406154340
9153305700
1068737248
1135889348
121b02a600
1311318b38
1491b4036
15607b8d3
hex418d8e0

68737248 has 120 divisors (see below), whose sum is σ = 211126608. Its totient is φ = 21897216.

The previous prime is 68737241. The next prime is 68737289. The reversal of 68737248 is 84273786.

It is a happy number.

It is a super-2 number, since 2×687372482 = 9449618525227008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68737241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59040 + ... + 60192.

Almost surely, 268737248 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 68737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105563304).

68737248 is an abundant number, since it is smaller than the sum of its proper divisors (142389360).

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

68737248 is a wasteful number, since it uses less digits than its factorization.

68737248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 68737248 is about 8290.7929656939. The cubic root of 68737248 is about 409.6353052861.

The spelling of 68737248 in words is "sixty-eight million, seven hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1153 1242 1296 1656 1863 2208 2306 2484 2592 3312 3459 3726 4612 4968 6624 6918 7452 9224 9936 10377 13836 14904 18448 19872 20754 26519 27672 29808 31131 36896 41508 53038 55344 59616 62262 79557 83016 93393 106076 110688 124524 159114 166032 186786 212152 238671 249048 318228 332064 373572 424304 477342 498096 636456 716013 747144 848608 954684 996192 1272912 1432026 1494288 1909368 2148039 2545824 2864052 2988576 3818736 4296078 5728104 7637472 8592156 11456208 17184312 22912416 34368624 68737248