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49301136 = 2434109349
BaseRepresentation
bin1011110000010…
…0011010010000
310102202202110000
42330010122100
5100110114021
64520410000
71136024043
oct274043220
9112682400
1049301136
1125913745
1214616900
13a2a2291
146794c5a
1544dcb26
hex2f04690

49301136 has 100 divisors (see below), whose sum is σ = 144413500. Its totient is φ = 16236288.

The previous prime is 49301113. The next prime is 49301137. The reversal of 49301136 is 63110394.

It can be written as a sum of positive squares in 2 ways, for example, as 35283600 + 14017536 = 5940^2 + 3744^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49301137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141090 + ... + 141438.

It is an arithmetic number, because the mean of its divisors is an integer number (1444135).

Almost surely, 249301136 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 49301136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72206750).

49301136 is an abundant number, since it is smaller than the sum of its proper divisors (95112364).

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

49301136 is a wasteful number, since it uses less digits than its factorization.

49301136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49301136 is about 7021.4767677462. The cubic root of 49301136 is about 366.6786655394.

The spelling of 49301136 in words is "forty-nine million, three hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 349 432 436 648 654 698 872 981 1047 1296 1308 1396 1744 1962 2094 2616 2792 2943 3141 3924 4188 5232 5584 5886 6282 7848 8376 8829 9423 11772 12564 15696 16752 17658 18846 23544 25128 28269 35316 37692 38041 47088 50256 56538 70632 75384 76082 113076 114123 141264 150768 152164 226152 228246 304328 342369 452304 456492 608656 684738 912984 1027107 1369476 1825968 2054214 2738952 3081321 4108428 5477904 6162642 8216856 12325284 16433712 24650568 49301136