Search a number
-
+
245363904 = 26371753
BaseRepresentation
bin11101001111111…
…11010011000000
3122002200210000000
432213333103000
51000303121104
640203000000
76036362442
oct1647772300
9562623000
10245363904
11116557595
126a209000
133baab456
1424830492
151681a639
hexe9ff4c0

245363904 has 112 divisors (see below), whose sum is σ = 730646240. Its totient is φ = 81741312.

The previous prime is 245363887. The next prime is 245363933. The reversal of 245363904 is 409363542.

It is a super-2 number, since 2×2453639042 = 120406890772242432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139092 + ... + 140844.

Almost surely, 2245363904 is an apocalyptic number.

245363904 is a gapful number since it is divisible by the number (24) 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 245363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365323120).

245363904 is an abundant number, since it is smaller than the sum of its proper divisors (485282336).

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

245363904 is an frugal number, since it uses more digits than its factorization.

245363904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 245363904 is about 15664.0960160489. The cubic root of 245363904 is about 626.0421261379.

The spelling of 245363904 in words is "two hundred forty-five million, three hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1753 1944 2187 2592 2916 3506 3888 4374 5184 5259 5832 7012 7776 8748 10518 11664 14024 15552 15777 17496 21036 23328 28048 31554 34992 42072 46656 47331 56096 63108 69984 84144 94662 112192 126216 139968 141993 168288 189324 252432 283986 336576 378648 425979 504864 567972 757296 851958 1009728 1135944 1277937 1514592 1703916 2271888 2555874 3029184 3407832 3833811 4543776 5111748 6815664 7667622 9087552 10223496 13631328 15335244 20446992 27262656 30670488 40893984 61340976 81787968 122681952 245363904