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49520772 = 22327267419
BaseRepresentation
bin1011110011101…
…0000010000100
310110011220201200
42330322002010
5100134131042
64525222500
71140630300
oct274720204
9113156650
1049520772
1125a53764
1214701a30
13a34b242
146810d00
154532c4c
hex2f3a084

49520772 has 108 divisors (see below), whose sum is σ = 148140720. Its totient is φ = 13904352.

The previous prime is 49520767. The next prime is 49520773. The reversal of 49520772 is 27702594.

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

It is not an unprimeable number, because it can be changed into a prime (49520773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117979 + ... + 118397.

Almost surely, 249520772 is an apocalyptic number.

49520772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49520772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74070360).

49520772 is an abundant number, since it is smaller than the sum of its proper divisors (98619948).

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

49520772 is a wasteful number, since it uses less digits than its factorization.

49520772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 49520772 is about 7037.0996866607. The cubic root of 49520772 is about 367.2223753577. Note that the first 3 decimals are identical.

The spelling of 49520772 in words is "forty-nine million, five hundred twenty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 126 134 147 196 201 252 268 294 402 419 441 469 588 603 804 838 882 938 1206 1257 1407 1676 1764 1876 2412 2514 2814 2933 3283 3771 4221 5028 5628 5866 6566 7542 8442 8799 9849 11732 13132 15084 16884 17598 19698 20531 26397 28073 29547 35196 39396 41062 52794 56146 59094 61593 82124 84219 105588 112292 118188 123186 168438 184779 196511 246372 252657 336876 369558 393022 505314 589533 739116 786044 1010628 1179066 1375577 1768599 2358132 2751154 3537198 4126731 5502308 7074396 8253462 12380193 16506924 24760386 49520772