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244742496 = 253191091231
BaseRepresentation
bin11101001011001…
…11100101100000
3122001112012120220
432211213211200
51000123224441
640141403040
76031163655
oct1645474540
9561465526
10244742496
11116172729
1269b69480
133b92165b
142470bc2c
1516746466
hexe967960

244742496 has 96 divisors (see below), whose sum is σ = 683020800. Its totient is φ = 76515840.

The previous prime is 244742479. The next prime is 244742503. The reversal of 244742496 is 694247442.

244742496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 198201 + ... + 199431.

It is an arithmetic number, because the mean of its divisors is an integer number (7114800).

Almost surely, 2244742496 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 244742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341510400).

244742496 is an abundant number, since it is smaller than the sum of its proper divisors (438278304).

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

244742496 is a wasteful number, since it uses less digits than its factorization.

244742496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1364 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 244742496 is about 15644.2480164436. The cubic root of 244742496 is about 625.5131751134.

The spelling of 244742496 in words is "two hundred forty-four million, seven hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 109 114 152 218 228 304 327 436 456 608 654 872 912 1231 1308 1744 1824 2071 2462 2616 3488 3693 4142 4924 5232 6213 7386 8284 9848 10464 12426 14772 16568 19696 23389 24852 29544 33136 39392 46778 49704 59088 66272 70167 93556 99408 118176 134179 140334 187112 198816 268358 280668 374224 402537 536716 561336 748448 805074 1073432 1122672 1610148 2146864 2245344 2549401 3220296 4293728 5098802 6440592 7648203 10197604 12881184 15296406 20395208 30592812 40790416 61185624 81580832 122371248 244742496