Search a number
-
+
152489480 = 235111353503
BaseRepresentation
bin10010001011011…
…00111000001000
3101121221021020112
421011230320020
5303014130410
623044213452
73531065513
oct1105547010
9347837215
10152489480
1179092670
124309a288
1325791080
1416375d7a
15d5c2105
hex916ce08

152489480 has 128 divisors (see below), whose sum is σ = 411505920. Its totient is φ = 50119680.

The previous prime is 152489461. The next prime is 152489501. The reversal of 152489480 is 84984251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302909 + ... + 303411.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 2152489480 is an apocalyptic number.

152489480 is a gapful number since it is divisible by the number (10) 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 152489480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

152489480 is an abundant number, since it is smaller than the sum of its proper divisors (259016440).

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

152489480 is a wasteful number, since it uses less digits than its factorization.

152489480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 152489480 is about 12348.6630855328. The cubic root of 152489480 is about 534.2525796195.

The spelling of 152489480 in words is "one hundred fifty-two million, four hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 53 55 65 88 104 106 110 130 143 212 220 260 265 286 424 440 503 520 530 572 583 689 715 1006 1060 1144 1166 1378 1430 2012 2120 2332 2515 2756 2860 2915 3445 4024 4664 5030 5512 5533 5720 5830 6539 6890 7579 10060 11066 11660 13078 13780 15158 20120 22132 23320 26156 26659 27560 27665 30316 32695 37895 44264 52312 53318 55330 60632 65390 71929 75790 106636 110660 130780 133295 143858 151580 213272 221320 261560 266590 287716 293249 303160 346567 359645 533180 575432 586498 693134 719290 1066360 1172996 1386268 1438580 1466245 1732835 2345992 2772536 2877160 2932490 3465670 3812237 5864980 6931340 7624474 11729960 13862680 15248948 19061185 30497896 38122370 76244740 152489480