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25540152 = 23311891087
BaseRepresentation
bin110000101101…
…1011000111000
31210001120111120
41201123120320
523014241102
62311225240
7430042041
oct141333070
953046446
1025540152
1113464770
128678220
1353a3021
14356b8c8
1523976bc
hex185b638

25540152 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 7645440.

The previous prime is 25540139. The next prime is 25540157. The reversal of 25540152 is 25104552.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25540157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22953 + ... + 24039.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 225540152 is an apocalyptic number.

25540152 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 25540152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

25540152 is an abundant number, since it is smaller than the sum of its proper divisors (44962248).

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

25540152 is a wasteful number, since it uses less digits than its factorization.

25540152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 25540152 is about 5053.7265458273. The cubic root of 25540152 is about 294.4926720207.

Subtracting from 25540152 its reverse (25104552), we obtain a square (435600 = 6602).

The spelling of 25540152 in words is "twenty-five million, five hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1087 1958 2136 2174 2937 3261 3916 4348 5874 6522 7832 8696 11748 11957 13044 23496 23914 26088 35871 47828 71742 95656 96743 143484 193486 286968 290229 386972 580458 773944 1064173 1160916 2128346 2321832 3192519 4256692 6385038 8513384 12770076 25540152