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49207392 = 2533132337
BaseRepresentation
bin1011101110110…
…1100001100000
310102120222212000
42323231201200
5100044114032
64514404000
71135153533
oct273554140
9112528760
1049207392
112585a273
1214590600
13a26b700
14676ca1a
1544bee7c
hex2eed860

49207392 has 144 divisors (see below), whose sum is σ = 155872080. Its totient is φ = 15095808.

The previous prime is 49207381. The next prime is 49207393. The reversal of 49207392 is 29370294.

49207392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 (49207393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145848 + ... + 146184.

It is an arithmetic number, because the mean of its divisors is an integer number (1082445).

Almost surely, 249207392 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 49207392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77936040).

49207392 is an abundant number, since it is smaller than the sum of its proper divisors (106664688).

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

49207392 is a wasteful number, since it uses less digits than its factorization.

49207392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49207392 is about 7014.7980726461. The cubic root of 49207392 is about 366.4461101495.

The spelling of 49207392 in words is "forty-nine million, two hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 337 338 351 416 432 468 507 624 674 676 702 864 936 1011 1014 1248 1348 1352 1404 1521 1872 2022 2028 2696 2704 2808 3033 3042 3744 4044 4056 4381 4563 5392 5408 5616 6066 6084 8088 8112 8762 9099 9126 10784 11232 12132 12168 13143 16176 16224 17524 18198 18252 24264 24336 26286 32352 35048 36396 36504 39429 48528 48672 52572 56953 70096 72792 73008 78858 97056 105144 113906 118287 140192 145584 146016 157716 170859 210288 227812 236574 291168 315432 341718 420576 455624 473148 512577 630864 683436 911248 946296 1025154 1261728 1366872 1537731 1822496 1892592 2050308 2733744 3075462 3785184 4100616 5467488 6150924 8201232 12301848 16402464 24603696 49207392