Search a number
-
+
155038464 = 283279613
BaseRepresentation
bin10010011110110…
…11001100000000
3101210201202210100
421033123030000
5304142212324
623215002400
73561543120
oct1117331400
9353652710
10155038464
117a573769
1243b09400
1326174349
141683ac80
15d9274c9
hex93db300

155038464 has 108 divisors (see below), whose sum is σ = 510926416. Its totient is φ = 44292096.

The previous prime is 155038463. The next prime is 155038493. The reversal of 155038464 is 464830551.

It is a happy number.

155038464 is a `hidden beast` number, since 15 + 503 + 84 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155038463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11322 + ... + 20934.

Almost surely, 2155038464 is an apocalyptic number.

155038464 is a gapful number since it is divisible by the number (14) 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 155038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255463208).

155038464 is an abundant number, since it is smaller than the sum of its proper divisors (355887952).

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

155038464 is an equidigital number, since it uses as much as digits as its factorization.

155038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 155038464 is about 12451.4442535796. Note that the first 3 decimals coincide. The cubic root of 155038464 is about 537.2129654766.

The spelling of 155038464 in words is "one hundred fifty-five million, thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 9613 16128 19226 28839 38452 57678 67291 76904 86517 115356 134582 153808 173034 201873 230712 269164 307616 346068 403746 461424 538328 605619 615232 692136 807492 922848 1076656 1211238 1230464 1384272 1614984 1845696 2153312 2422476 2460928 2768544 3229968 3691392 4306624 4844952 5537088 6459936 7382784 8613248 9689904 11074176 12919872 17226496 19379808 22148352 25839744 38759616 51679488 77519232 155038464