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245401408 = 26741597
BaseRepresentation
bin11101010000010…
…00011101000000
3122002202200110001
432220020131000
51000310321113
640203445344
76036610000
oct1650103500
9562680401
10245401408
1111658278a
126a226854
133bac2545
1424840000
15168267dd
hexea08740

245401408 has 70 divisors (see below), whose sum is σ = 568451746. Its totient is φ = 105106176.

The previous prime is 245401379. The next prime is 245401433. The reversal of 245401408 is 804104542.

It can be written as a sum of positive squares in only one way, i.e., 177635584 + 67765824 = 13328^2 + 8232^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 152866 + ... + 154462.

Almost surely, 2245401408 is an apocalyptic number.

245401408 is a gapful number since it is divisible by the number (28) 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 245401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284225873).

245401408 is an abundant number, since it is smaller than the sum of its proper divisors (323050338).

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

245401408 is an frugal number, since it uses more digits than its factorization.

245401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 245401408 is about 15665.2931029075. The cubic root of 245401408 is about 626.0740214674.

The spelling of 245401408 in words is "two hundred forty-five million, four hundred one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 1597 2401 2744 3136 3194 4802 5488 6388 9604 10976 11179 12776 19208 21952 22358 25552 38416 44716 51104 76832 78253 89432 102208 153664 156506 178864 313012 357728 547771 626024 715456 1095542 1252048 2191084 2504096 3834397 4382168 5008192 7668794 8764336 15337588 17528672 30675176 35057344 61350352 122700704 245401408