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45220608 = 2832191033
BaseRepresentation
bin1010110010000…
…0001100000000
310011002110000100
42230200030000
543034024413
64253122400
71056240336
oct254401400
9104073010
1045220608
1123586a04
1213189400
1394a3b74
146011b56
153e83a73
hex2b20300

45220608 has 108 divisors (see below), whose sum is σ = 137377240. Its totient is φ = 14266368.

The previous prime is 45220603. The next prime is 45220613. The reversal of 45220608 is 80602254.

45220608 is a `hidden beast` number, since 4 + 52 + 2 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (45220603) and next prime (45220613).

It is not an unprimeable number, because it can be changed into a prime (45220603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43260 + ... + 44292.

Almost surely, 245220608 is an apocalyptic number.

45220608 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 45220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68688620).

45220608 is an abundant number, since it is smaller than the sum of its proper divisors (92156632).

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

45220608 is a wasteful number, since it uses less digits than its factorization.

45220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45220608 is about 6724.6269785022. The cubic root of 45220608 is about 356.2696269888.

The spelling of 45220608 in words is "forty-five million, two hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1033 1152 1216 1368 1824 2066 2304 2432 2736 3099 3648 4132 4864 5472 6198 7296 8264 9297 10944 12396 14592 16528 18594 19627 21888 24792 33056 37188 39254 43776 49584 58881 66112 74376 78508 99168 117762 132224 148752 157016 176643 198336 235524 264448 297504 314032 353286 396672 471048 595008 628064 706572 793344 942096 1190016 1256128 1413144 1884192 2380032 2512256 2826288 3768384 5024512 5652576 7536768 11305152 15073536 22610304 45220608