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49710672 = 2434112317
BaseRepresentation
bin1011110110100…
…0011001010000
310110112120020000
42331220121100
5100211220142
64533250000
71142351034
oct275503120
9113476200
1049710672
1126073400
1214793900
13a3b67cb
1468601c4
15456e14c
hex2f68650

49710672 has 150 divisors (see below), whose sum is σ = 158644794. Its totient is φ = 15016320.

The previous prime is 49710643. The next prime is 49710677. The reversal of 49710672 is 27601794.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 18974736 = 5544^2 + 4356^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49710677) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156658 + ... + 156974.

Almost surely, 249710672 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 49710672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79322397).

49710672 is an abundant number, since it is smaller than the sum of its proper divisors (108934122).

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

49710672 is a wasteful number, since it uses less digits than its factorization.

49710672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 49710672 is about 7050.5795506469. The cubic root of 49710672 is about 367.6911791623.

The spelling of 49710672 in words is "forty-nine million, seven hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 317 324 363 396 432 484 528 594 634 648 726 792 891 951 968 1089 1188 1268 1296 1452 1584 1782 1902 1936 2178 2376 2536 2853 2904 3267 3487 3564 3804 4356 4752 5072 5706 5808 6534 6974 7128 7608 8559 8712 9801 10461 11412 13068 13948 14256 15216 17118 17424 19602 20922 22824 25677 26136 27896 31383 34236 38357 39204 41844 45648 51354 52272 55792 62766 68472 76714 78408 83688 94149 102708 115071 125532 136944 153428 156816 167376 188298 205416 230142 251064 282447 306856 345213 376596 410832 460284 502128 564894 613712 690426 753192 920568 1035639 1129788 1380852 1506384 1841136 2071278 2259576 2761704 3106917 4142556 4519152 5523408 6213834 8285112 12427668 16570224 24855336 49710672