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245290496 = 291197449
BaseRepresentation
bin11101001111011…
…01011000000000
3122002120001022012
432213231120000
51000243243441
640201232052
76035635433
oct1647553000
9562501265
10245290496
11116507420
126a192628
133ba83c09
142481181a
15168039eb
hexe9ed600

245290496 has 80 divisors (see below), whose sum is σ = 541371600. Its totient is φ = 110100480.

The previous prime is 245290477. The next prime is 245290499. The reversal of 245290496 is 694092542.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245290499) 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 7 ways as a sum of consecutive naturals, for example, 546080 + ... + 546528.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2245290496 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 245290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270685800).

245290496 is an abundant number, since it is smaller than the sum of its proper divisors (296081104).

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

245290496 is an equidigital number, since it uses as much as digits as its factorization.

245290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 245290496 is about 15661.7526477722. The cubic root of 245290496 is about 625.9796867930.

The spelling of 245290496 in words is "two hundred forty-five million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 449 512 704 776 898 1067 1408 1552 1796 2134 2816 3104 3592 4268 4939 5632 6208 7184 8536 9878 12416 14368 17072 19756 24832 28736 34144 39512 43553 49664 57472 68288 79024 87106 114944 136576 158048 174212 229888 273152 316096 348424 479083 546304 632192 696848 958166 1264384 1393696 1916332 2528768 2787392 3832664 5574784 7665328 11149568 15330656 22299136 30661312 61322624 122645248 245290496