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4929792 = 28372131
BaseRepresentation
bin10010110011100100000000
3100021110101220
4102303210000
52230223132
6253355040
756621400
oct22634400
910243356
104929792
11286790a
121798a80
131037b4a
14924800
15675a2c
hex4b3900

4929792 has 108 divisors (see below), whose sum is σ = 15379056. Its totient is φ = 1397760.

The previous prime is 4929791. The next prime is 4929809. The reversal of 4929792 is 2979294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4929791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37567 + ... + 37697.

Almost surely, 24929792 is an apocalyptic number.

4929792 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 4929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689528).

4929792 is an abundant number, since it is smaller than the sum of its proper divisors (10449264).

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

4929792 is a wasteful number, since it uses less digits than its factorization.

4929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 4929792 is about 2220.3134913791. The cubic root of 4929792 is about 170.1934591151.

The spelling of 4929792 in words is "four million, nine hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 131 147 168 192 196 224 256 262 294 336 384 392 393 448 524 588 672 768 784 786 896 917 1048 1176 1344 1568 1572 1792 1834 2096 2352 2688 2751 3136 3144 3668 4192 4704 5376 5502 6272 6288 6419 7336 8384 9408 11004 12544 12576 12838 14672 16768 18816 19257 22008 25152 25676 29344 33536 37632 38514 44016 50304 51352 58688 77028 88032 100608 102704 117376 154056 176064 205408 234752 308112 352128 410816 616224 704256 821632 1232448 1643264 2464896 4929792