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25053072 = 24311232063
BaseRepresentation
bin101111110010…
…0011110010000
31202010211100120
41133210132100
522403144242
62252550240
7422643012
oct137443620
952124316
1025053072
1113161820
128482380
135262405
1434821b2
1522ed1ec
hex17e4790

25053072 has 80 divisors (see below), whose sum is σ = 73709568. Its totient is φ = 7258240.

The previous prime is 25053043. The next prime is 25053073. The reversal of 25053072 is 27035052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (25053073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11113 + ... + 13175.

Almost surely, 225053072 is an apocalyptic number.

25053072 is a gapful number since it is divisible by the number (22) 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 25053072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36854784).

25053072 is an abundant number, since it is smaller than the sum of its proper divisors (48656496).

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

25053072 is a wasteful number, since it uses less digits than its factorization.

25053072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 25053072 is about 5005.3043863485. The cubic root of 25053072 is about 292.6085388703.

The spelling of 25053072 in words is "twenty-five million, fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 2063 3036 4048 4126 6072 6189 8252 12144 12378 16504 22693 24756 33008 45386 47449 49512 68079 90772 94898 99024 136158 142347 181544 189796 272316 284694 363088 379592 521939 544632 569388 759184 1043878 1089264 1138776 1565817 2087756 2277552 3131634 4175512 6263268 8351024 12526536 25053072