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426267648 = 21032232011
BaseRepresentation
bin11001011010000…
…101010000000000
31002201002122021200
4121122011100000
51333111031043
6110144221200
713364133552
oct3132052000
91081078250
10426267648
111a9687214
12ba90a800
136a40a7a1
14408814d2
15276517d3
hex19685400

426267648 has 132 divisors (see below), whose sum is σ = 1284991968. Its totient is φ = 135843840.

The previous prime is 426267629. The next prime is 426267661. The reversal of 426267648 is 846762624.

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, 210963 + ... + 212973.

Almost surely, 2426267648 is an apocalyptic number.

426267648 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 426267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642495984).

426267648 is an abundant number, since it is smaller than the sum of its proper divisors (858724320).

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

426267648 is a wasteful number, since it uses less digits than its factorization.

426267648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2039 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 426267648 is about 20646.2502164437. The cubic root of 426267648 is about 752.5940680702.

The spelling of 426267648 in words is "four hundred twenty-six million, two hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2011 2208 2304 2944 3072 3312 4022 4416 4608 5888 6033 6624 8044 8832 9216 11776 12066 13248 16088 17664 18099 23552 24132 26496 32176 35328 36198 46253 48264 52992 64352 70656 72396 92506 96528 105984 128704 138759 144792 185012 193056 211968 257408 277518 289584 370024 386112 416277 514816 555036 579168 740048 772224 832554 1029632 1110072 1158336 1480096 1544448 1665108 2059264 2220144 2316672 2960192 3088896 3330216 4440288 4633344 5920384 6177792 6660432 8880576 9266688 11840768 13320864 17761152 18533376 23681536 26641728 35522304 47363072 53283456 71044608 106566912 142089216 213133824 426267648