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253925504 = 2771671697
BaseRepresentation
bin11110010001010…
…01100010000000
3122200210202022022
433020221202000
51010001104004
641110301012
76202221410
oct1710514200
9580722268
10253925504
11120374a98
1271057768
13407b83a1
1425a1c640
151745c2be
hexf229880

253925504 has 64 divisors (see below), whose sum is σ = 581938560. Its totient is φ = 108109824.

The previous prime is 253925473. The next prime is 253925521. The reversal of 253925504 is 405529352.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148784 + ... + 150480.

It is an arithmetic number, because the mean of its divisors is an integer number (9092790).

Almost surely, 2253925504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290969280).

253925504 is an abundant number, since it is smaller than the sum of its proper divisors (328013056).

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

253925504 is a wasteful number, since it uses less digits than its factorization.

253925504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 253925504 is about 15935.0401317348. The cubic root of 253925504 is about 633.2406330312.

The spelling of 253925504 in words is "two hundred fifty-three million, nine hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 334 448 668 896 1169 1336 1697 2338 2672 3394 4676 5344 6788 9352 10688 11879 13576 18704 21376 23758 27152 37408 47516 54304 74816 95032 108608 149632 190064 217216 283399 380128 566798 760256 1133596 1520512 1983793 2267192 3967586 4534384 7935172 9068768 15870344 18137536 31740688 36275072 63481376 126962752 253925504