Search a number
-
+
625625088 = 2113119257
BaseRepresentation
bin100101010010100…
…100100000000000
31121121020001021120
4211102210200000
52240130000323
6142025152240
721334503564
oct4522444000
91547201246
10625625088
112a1170430
1215562b680
139c7cb47a
145d1376a4
1539dd05e3
hex254a4800

625625088 has 96 divisors (see below), whose sum is σ = 1819752480. Its totient is φ = 189562880.

The previous prime is 625625083. The next prime is 625625107. The reversal of 625625088 is 880526526.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (625625083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62956 + ... + 72212.

It is an arithmetic number, because the mean of its divisors is an integer number (18955755).

Almost surely, 2625625088 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 625625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909876240).

625625088 is an abundant number, since it is smaller than the sum of its proper divisors (1194127392).

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

625625088 is a wasteful number, since it uses less digits than its factorization.

625625088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 625625088 is about 25012.4986356821. The cubic root of 625625088 is about 855.2729144842.

The spelling of 625625088 in words is "six hundred twenty-five million, six hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 9257 11264 16896 18514 22528 27771 33792 37028 55542 67584 74056 101827 111084 148112 203654 222168 296224 305481 407308 444336 592448 610962 814616 888672 1184896 1221924 1629232 1777344 2369792 2443848 3258464 3554688 4739584 4887696 6516928 7109376 9479168 9775392 13033856 14218752 18958336 19550784 26067712 28437504 39101568 52135424 56875008 78203136 104270848 156406272 208541696 312812544 625625088