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455151480 = 233573311637
BaseRepresentation
bin11011001000010…
…000111101111000
31011201110002110020
4123020100331320
51413004321410
6113055250440
714164503150
oct3310207570
91151402406
10455151480
11213a15053
12108519a20
13733b1704
144463d760
1529e59a70
hex1b210f78

455151480 has 128 divisors (see below), whose sum is σ = 1566190080. Its totient is φ = 103656960.

The previous prime is 455151449. The next prime is 455151481. The reversal of 455151480 is 84151554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455151481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277222 + ... + 278858.

It is an arithmetic number, because the mean of its divisors is an integer number (12235860).

Almost surely, 2455151480 is an apocalyptic number.

455151480 is a gapful number since it is divisible by the number (40) 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 455151480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783095040).

455151480 is an abundant number, since it is smaller than the sum of its proper divisors (1111038600).

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

455151480 is a wasteful number, since it uses less digits than its factorization.

455151480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The square root of 455151480 is about 21334.2794581865. The cubic root of 455151480 is about 769.2225131319. Note that the first 3 decimals are identical.

The spelling of 455151480 in words is "four hundred fifty-five million, one hundred fifty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 331 420 662 840 993 1324 1637 1655 1986 2317 2648 3274 3310 3972 4634 4911 4965 6548 6620 6951 7944 8185 9268 9822 9930 11459 11585 13096 13240 13902 16370 18536 19644 19860 22918 23170 24555 27804 32740 34377 34755 39288 39720 45836 46340 49110 55608 57295 65480 68754 69510 91672 92680 98220 114590 137508 139020 171885 196440 229180 275016 278040 343770 458360 541847 687540 1083694 1375080 1625541 2167388 2709235 3251082 3792929 4334776 5418470 6502164 7585858 8127705 10836940 11378787 13004328 15171716 16255410 18964645 21673880 22757574 30343432 32510820 37929290 45515148 56893935 65021640 75858580 91030296 113787870 151717160 227575740 455151480