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255729474 = 234711131983
BaseRepresentation
bin11110011111000…
…01111101000010
3122211012101220000
433033201331002
51010431320344
641213100430
76223443660
oct1717417502
9584171800
10255729474
11121397380
1271787716
1340c9a520
1425d6bc30
15176b6a69
hexf3e1f42

255729474 has 320 divisors, whose sum is σ = 819624960. Its totient is φ = 57386880.

The previous prime is 255729473. The next prime is 255729547. The reversal of 255729474 is 474927552.

255729474 is a `hidden beast` number, since 2 + 5 + 572 + 9 + 4 + 74 = 666.

255729474 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (705600) is a multiple of the sum of its prime factors (147).

It is not an unprimeable number, because it can be changed into a prime (255729473) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3081037 + ... + 3081119.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 2255729474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255729474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812480).

255729474 is an abundant number, since it is smaller than the sum of its proper divisors (563895486).

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

255729474 is a wasteful number, since it uses less digits than its factorization.

255729474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 255729474 is about 15991.5438279111. The cubic root of 255729474 is about 634.7366788016.

The spelling of 255729474 in words is "two hundred fifty-five million, seven hundred twenty-nine thousand, four hundred seventy-four".