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245157440 = 26511257271
BaseRepresentation
bin11101001110011…
…00111001000000
3122002022021210012
432213030321000
51000230014230
640154324052
76034542503
oct1647147100
9562267705
10245157440
11116426460
126a129628
133ba38498
14247b913a
15167c9395
hexe9cce40

245157440 has 112 divisors (see below), whose sum is σ = 641689344. Its totient is φ = 88473600.

The previous prime is 245157431. The next prime is 245157443. The reversal of 245157440 is 44751542.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 245157397 and 245157406.

It is not an unprimeable number, because it can be changed into a prime (245157443) 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, 904505 + ... + 904775.

Almost surely, 2245157440 is an apocalyptic number.

245157440 is a gapful number since it is divisible by the number (20) 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 245157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320844672).

245157440 is an abundant number, since it is smaller than the sum of its proper divisors (396531904).

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

245157440 is a wasteful number, since it uses less digits than its factorization.

245157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 245157440 is about 15657.5042711155. The cubic root of 245157440 is about 625.8664803172.

The spelling of 245157440 in words is "two hundred forty-five million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 257 271 320 352 440 514 542 704 880 1028 1084 1285 1355 1760 2056 2168 2570 2710 2827 2981 3520 4112 4336 5140 5420 5654 5962 8224 8672 10280 10840 11308 11924 14135 14905 16448 17344 20560 21680 22616 23848 28270 29810 41120 43360 45232 47696 56540 59620 69647 82240 86720 90464 95392 113080 119240 139294 180928 190784 226160 238480 278588 348235 452320 476960 557176 696470 766117 904640 953920 1114352 1392940 1532234 2228704 2785880 3064468 3830585 4457408 5571760 6128936 7661170 11143520 12257872 15322340 22287040 24515744 30644680 49031488 61289360 122578720 245157440