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4945776 = 24311171929
BaseRepresentation
bin10010110111011101110000
3100022021022220
4102313131300
52231231101
6254001040
760016113
oct22673560
910267286
104945776
112878920
1217a6180
1310421c4
1492a57a
1567a636
hex4b7770

4945776 has 160 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1290240.

The previous prime is 4945741. The next prime is 4945777. The reversal of 4945776 is 6775494.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4945777) 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 31 ways as a sum of consecutive naturals, for example, 170530 + ... + 170558.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

Almost surely, 24945776 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 4945776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

4945776 is an abundant number, since it is smaller than the sum of its proper divisors (11124624).

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

4945776 is a wasteful number, since it uses less digits than its factorization.

4945776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 4945776 is about 2223.9100701242. The cubic root of 4945776 is about 170.3772016491.

The spelling of 4945776 in words is "four million, nine hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 29 33 34 38 44 48 51 57 58 66 68 76 87 88 102 114 116 132 136 152 174 176 187 204 209 228 232 264 272 304 319 323 348 374 408 418 456 464 493 528 551 561 627 638 646 696 748 816 836 912 957 969 986 1102 1122 1254 1276 1292 1392 1479 1496 1653 1672 1914 1938 1972 2204 2244 2508 2552 2584 2958 2992 3306 3344 3553 3828 3876 3944 4408 4488 5016 5104 5168 5423 5916 6061 6612 7106 7656 7752 7888 8816 8976 9367 10032 10659 10846 11832 12122 13224 14212 15312 15504 16269 18183 18734 21318 21692 23664 24244 26448 28101 28424 32538 36366 37468 42636 43384 48488 56202 56848 65076 72732 74936 85272 86768 96976 103037 112404 130152 145464 149872 170544 206074 224808 260304 290928 309111 412148 449616 618222 824296 1236444 1648592 2472888 4945776