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245901408 = 25337107647
BaseRepresentation
bin11101010100000…
…10100001100000
3122010201002022120
432222002201200
51000422321113
640222304240
76044061504
oct1652024140
9563632276
10245901408
11116894405
126a428080
133bc38cbc
1424930304
15168c4a23
hexea82860

245901408 has 96 divisors (see below), whose sum is σ = 670166784. Its totient is φ = 78884352.

The previous prime is 245901389. The next prime is 245901427. The reversal of 245901408 is 804109542.

It is an interprime number because it is at equal distance from previous prime (245901389) and next prime (245901427).

It is a tau number, because it is divible by the number of its divisors (96).

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, 379741 + ... + 380387.

It is an arithmetic number, because the mean of its divisors is an integer number (6980904).

Almost surely, 2245901408 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 245901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335083392).

245901408 is an abundant number, since it is smaller than the sum of its proper divisors (424265376).

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

245901408 is a wasteful number, since it uses less digits than its factorization.

245901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 245901408 is about 15681.2438282172. The cubic root of 245901408 is about 626.4989370531.

The spelling of 245901408 in words is "two hundred forty-five million, nine hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 107 111 148 214 222 296 321 428 444 592 642 647 856 888 1184 1284 1294 1712 1776 1941 2568 2588 3424 3552 3882 3959 5136 5176 7764 7918 10272 10352 11877 15528 15836 20704 23754 23939 31056 31672 47508 47878 62112 63344 69229 71817 95016 95756 126688 138458 143634 190032 191512 207687 276916 287268 380064 383024 415374 553832 574536 766048 830748 1107664 1149072 1661496 2215328 2298144 2561473 3322992 5122946 6645984 7684419 10245892 15368838 20491784 30737676 40983568 61475352 81967136 122950704 245901408