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49202496 = 2632712203
BaseRepresentation
bin1011101110110…
…0010101000000
310102120202010200
42323230111000
5100043434441
64514325200
71135133340
oct273542500
9112522120
1049202496
1125856622
1214589800
13a269405
14676ad20
1544bd7b6
hex2eec540

49202496 has 84 divisors (see below), whose sum is σ = 161190432. Its totient is φ = 14056704.

The previous prime is 49202479. The next prime is 49202557. The reversal of 49202496 is 69420294.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×492024962 = 4841771225260032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49202496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2070 + ... + 10133.

Almost surely, 249202496 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 49202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80595216).

49202496 is an abundant number, since it is smaller than the sum of its proper divisors (111987936).

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

49202496 is a wasteful number, since it uses less digits than its factorization.

49202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12228 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49202496 is about 7014.4490874195. The cubic root of 49202496 is about 366.4339562868.

The spelling of 49202496 in words is "forty-nine million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 12203 24406 36609 48812 73218 85421 97624 109827 146436 170842 195248 219654 256263 292872 341684 390496 439308 512526 585744 683368 768789 780992 878616 1025052 1171488 1366736 1537578 1757232 2050104 2342976 2733472 3075156 3514464 4100208 5466944 6150312 7028928 8200416 12300624 16400832 24601248 49202496