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25742496 = 2531320627
BaseRepresentation
bin110001000110…
…0110010100000
31210102212001210
41202030302200
523042224441
62315430120
7431544003
oct142146240
953385053
1025742496
111359279a
128755340
135444160
1435c153a
1523d7616
hex188cca0

25742496 has 48 divisors (see below), whose sum is σ = 72775584. Its totient is φ = 7920384.

The previous prime is 25742489. The next prime is 25742503. The reversal of 25742496 is 69424752.

It is an interprime number because it is at equal distance from previous prime (25742489) and next prime (25742503).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×257424962 = 1325352200620032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 9066 + ... + 11561.

It is an arithmetic number, because the mean of its divisors is an integer number (1516158).

Almost surely, 225742496 is an apocalyptic number.

25742496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

25742496 is an abundant number, since it is smaller than the sum of its proper divisors (47033088).

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

25742496 is a wasteful number, since it uses less digits than its factorization.

25742496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20653 (or 20645 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 25742496 is about 5073.7063375801. The cubic root of 25742496 is about 295.2683414894.

The spelling of 25742496 in words is "twenty-five million, seven hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 20627 41254 61881 82508 123762 165016 247524 268151 330032 495048 536302 660064 804453 990096 1072604 1608906 1980192 2145208 3217812 4290416 6435624 8580832 12871248 25742496