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243632896 = 2813193853
BaseRepresentation
bin11101000010110…
…00101100000000
3121222102211111121
432201120230000
5444332223041
640101522024
76015562663
oct1641305400
9558384447
10243632896
11115585001
1269713314
133b6235a0
14244dd6da
15165c77d1
hexe858b00

243632896 has 72 divisors (see below), whose sum is σ = 551430320. Its totient is φ = 106500096.

The previous prime is 243632887. The next prime is 243632897. The reversal of 243632896 is 698236342.

It is not an unprimeable number, because it can be changed into a prime (243632897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61306 + ... + 65158.

Almost surely, 2243632896 is an apocalyptic number.

243632896 is a gapful number since it is divisible by the number (26) 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 243632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275715160).

243632896 is an abundant number, since it is smaller than the sum of its proper divisors (307797424).

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

243632896 is a wasteful number, since it uses less digits than its factorization.

243632896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3887 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 243632896 is about 15608.7442159836. The cubic root of 243632896 is about 624.5664372269.

The spelling of 243632896 in words is "two hundred forty-three million, six hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1664 1976 2432 3328 3853 3952 4864 7706 7904 15412 15808 30824 31616 50089 61648 63232 73207 100178 123296 146414 200356 246592 292828 400712 493184 585656 801424 951691 986368 1171312 1602848 1903382 2342624 3205696 3806764 4685248 6411392 7613528 9370496 12822784 15227056 18740992 30454112 60908224 121816448 243632896