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49040264 = 23713314153
BaseRepresentation
bin1011101100010…
…0101110001000
310102021111121002
42323010232020
5100023242024
64511034132
71133556350
oct273045610
9112244532
1049040264
1125755749
121450b948
13a210610
146727b60
15448a6ae
hex2ec4b88

49040264 has 128 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 17971200.

The previous prime is 49040263. The next prime is 49040267. The reversal of 49040264 is 46204094.

It is not an unprimeable number, because it can be changed into a prime (49040261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925262 + ... + 925314.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 249040264 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 49040264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

49040264 is an abundant number, since it is smaller than the sum of its proper divisors (72887416).

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

49040264 is a wasteful number, since it uses less digits than its factorization.

49040264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 49040264 is about 7002.8754094300. The cubic root of 49040264 is about 366.0307736872.

The spelling of 49040264 in words is "forty-nine million, forty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 41 52 53 56 62 82 91 104 106 124 164 182 212 217 248 287 328 364 371 403 424 434 533 574 689 728 742 806 868 1066 1148 1271 1378 1484 1612 1643 1736 2132 2173 2296 2542 2756 2821 2968 3224 3286 3731 4264 4346 4823 5084 5512 5642 6572 7462 8692 8897 9646 10168 11284 11501 13144 14924 15211 16523 17384 17794 19292 21359 22568 23002 28249 29848 30422 33046 35588 38584 42718 46004 56498 60844 66092 67363 71176 85436 92008 112996 115661 121688 132184 134726 149513 170872 197743 225992 231322 269452 299026 395486 462644 471541 538904 598052 790972 875719 925288 943082 1196104 1581944 1751438 1886164 3502876 3772328 6130033 7005752 12260066 24520132 49040264