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4969944 = 2333719173
BaseRepresentation
bin10010111101010111011000
3100100111111000
4102331113120
52233014234
6254305000
760146430
oct22752730
910314430
104969944
112894aa1
1217b8160
1310501c5
149352c0
15682899
hex4bd5d8

4969944 has 128 divisors (see below), whose sum is σ = 16704000. Its totient is φ = 1337472.

The previous prime is 4969931. The next prime is 4969961. The reversal of 4969944 is 4499694.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4969944.

It is a congruent number.

It is an unprimeable number.

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, 28642 + ... + 28814.

It is an arithmetic number, because the mean of its divisors is an integer number (130500).

Almost surely, 24969944 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 4969944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352000).

4969944 is an abundant number, since it is smaller than the sum of its proper divisors (11734056).

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

4969944 is a wasteful number, since it uses less digits than its factorization.

4969944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 4969944 is about 2229.3371212089. The cubic root of 4969944 is about 170.6542722390.

It can be divided in two parts, 496 and 9944, that added together give a triangular number (10440 = T144).

The spelling of 4969944 in words is "four million, nine hundred sixty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 173 189 216 228 252 266 342 346 378 399 456 504 513 519 532 684 692 756 798 1026 1038 1064 1197 1211 1368 1384 1512 1557 1596 2052 2076 2394 2422 3114 3192 3287 3591 3633 4104 4152 4671 4788 4844 6228 6574 7182 7266 9342 9576 9688 9861 10899 12456 13148 14364 14532 18684 19722 21798 23009 26296 28728 29064 29583 32697 37368 39444 43596 46018 59166 65394 69027 78888 87192 88749 92036 118332 130788 138054 177498 184072 207081 236664 261576 276108 354996 414162 552216 621243 709992 828324 1242486 1656648 2484972 4969944