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68926464 = 21035277
BaseRepresentation
bin1000001101110…
…11110000000000
311210200211100000
410012323300000
5120121121324
610501200000
71464602535
oct406736000
9153624300
1068926464
11359a8522
121b100000
1311383cb9
149222d8c
1560b79c9
hex41bbc00

68926464 has 132 divisors (see below), whose sum is σ = 207140024. Its totient is φ = 22892544.

The previous prime is 68926457. The next prime is 68926489. The reversal of 68926464 is 46462986.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248694 + ... + 248970.

Almost surely, 268926464 is an apocalyptic number.

68926464 is a gapful number since it is divisible by the number (64) 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 68926464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103570012).

68926464 is an abundant number, since it is smaller than the sum of its proper divisors (138213560).

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

68926464 is an equidigital number, since it uses as much as digits as its factorization.

68926464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 68926464 is about 8302.1963359102. The cubic root of 68926464 is about 410.0108345342.

The spelling of 68926464 in words is "sixty-eight million, nine hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 277 288 324 384 432 486 512 554 576 648 768 831 864 972 1024 1108 1152 1296 1536 1662 1728 1944 2216 2304 2493 2592 3072 3324 3456 3888 4432 4608 4986 5184 6648 6912 7479 7776 8864 9216 9972 10368 13296 13824 14958 15552 17728 19944 20736 22437 26592 27648 29916 31104 35456 39888 41472 44874 53184 59832 62208 67311 70912 79776 82944 89748 106368 119664 124416 134622 141824 159552 179496 212736 239328 248832 269244 283648 319104 358992 425472 478656 538488 638208 717984 850944 957312 1076976 1276416 1435968 1914624 2153952 2552832 2871936 3829248 4307904 5743872 7658496 8615808 11487744 17231616 22975488 34463232 68926464