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245094432 = 25311317487
BaseRepresentation
bin11101001101111…
…01100000100000
3122002012002100120
432212331200200
51000221010212
640153120240
76034161012
oct1646754040
9562162316
10245094432
11116393090
126a0b9080
133ba158bb
14247a01b2
15167b588c
hexe9bd820

245094432 has 96 divisors (see below), whose sum is σ = 724598784. Its totient is φ = 71865600.

The previous prime is 245094431. The next prime is 245094439. The reversal of 245094432 is 234490542.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 245094393 and 245094402.

It is not an unprimeable number, because it can be changed into a prime (245094431) 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, 28993 + ... + 36479.

It is an arithmetic number, because the mean of its divisors is an integer number (7547904).

Almost surely, 2245094432 is an apocalyptic number.

245094432 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 245094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362299392).

245094432 is an abundant number, since it is smaller than the sum of its proper divisors (479504352).

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

245094432 is a wasteful number, since it uses less digits than its factorization.

245094432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 245094432 is about 15655.4920714745. The cubic root of 245094432 is about 625.8128576682.

The spelling of 245094432 in words is "two hundred forty-five million, ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 7487 8184 10912 14974 16368 22461 29948 32736 44922 59896 82357 89844 119792 164714 179688 232097 239584 247071 329428 359376 464194 494142 658856 696291 718752 928388 988284 1317712 1392582 1856776 1976568 2553067 2635424 2785164 3713552 3953136 5106134 5570328 7427104 7659201 7906272 10212268 11140656 15318402 20424536 22281312 30636804 40849072 61273608 81698144 122547216 245094432