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49142496 = 253133233
BaseRepresentation
bin1011101101110…
…1101011100000
310102110200211110
42323131223200
5100040024441
64513143320
71134463404
oct273355340
9112420743
1049142496
1125815537
121455ab40
13a248000
146753104
1544aab16
hex2eddae0

49142496 has 96 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 15055872.

The previous prime is 49142491. The next prime is 49142539. The reversal of 49142496 is 69424194.

49142496 = T263 + T264 + ... + T678.

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

It is a super-2 number, since 2×491424962 = 4829969826220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49142491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210796 + ... + 211028.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 249142496 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 49142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

49142496 is an abundant number, since it is smaller than the sum of its proper divisors (91201344).

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

49142496 is a wasteful number, since it uses less digits than its factorization.

49142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 49142496 is about 7010.1708966330. The cubic root of 49142496 is about 366.2849463639.

The spelling of 49142496 in words is "forty-nine million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 233 312 338 416 466 507 624 676 699 932 1014 1248 1352 1398 1864 2028 2197 2704 2796 3029 3728 4056 4394 5408 5592 6058 6591 7456 8112 8788 9087 11184 12116 13182 16224 17576 18174 22368 24232 26364 35152 36348 39377 48464 52728 70304 72696 78754 96928 105456 118131 145392 157508 210912 236262 290784 315016 472524 511901 630032 945048 1023802 1260064 1535703 1890096 2047604 3071406 3780192 4095208 6142812 8190416 12285624 16380832 24571248 49142496