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245040492 = 223193137937
BaseRepresentation
bin11101001101100…
…00010101101100
3122002002100100210
432212300111230
51000212243432
640152022420
76033544524
oct1646602554
9562070323
10245040492
11116356604
126a091a10
133b9c7198
1424788684
15167a48cc
hexe9b056c

245040492 has 96 divisors (see below), whose sum is σ = 638740480. Its totient is φ = 72783360.

The previous prime is 245040463. The next prime is 245040493. The reversal of 245040492 is 294040542.

245040492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (245040493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261048 + ... + 261984.

Almost surely, 2245040492 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 245040492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319370240).

245040492 is an abundant number, since it is smaller than the sum of its proper divisors (393699988).

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

245040492 is a wasteful number, since it uses less digits than its factorization.

245040492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 245040492 is about 15653.7692585524. The cubic root of 245040492 is about 625.7669449943.

Subtracting 245040492 from its reverse (294040542), we obtain a triangular number (49000050 = T9899).

The spelling of 245040492 in words is "two hundred forty-five million, forty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 31 37 38 57 62 74 76 93 111 114 124 148 186 222 228 372 444 589 703 937 1147 1178 1406 1767 1874 2109 2294 2356 2811 2812 3441 3534 3748 4218 4588 5622 6882 7068 8436 11244 13764 17803 21793 29047 34669 35606 43586 53409 58094 65379 69338 71212 87141 87172 104007 106818 116188 130758 138676 174282 208014 213636 261516 348564 416028 551893 658711 1074739 1103786 1317422 1655679 1976133 2149478 2207572 2634844 3224217 3311358 3952266 4298956 6448434 6622716 7904532 12896868 20420041 40840082 61260123 81680164 122520246 245040492