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949420032 = 216311439
BaseRepresentation
bin111000100101110…
…000000000000000
32110011111112102220
4320211300000000
53421022420112
6234113211040
732345636301
oct7045600000
92404445386
10949420032
11447a17360
12225b60a80
1312190ab02
14901427a8
155853e98c
hex38970000

949420032 has 136 divisors (see below), whose sum is σ = 2768219520. Its totient is φ = 287047680.

The previous prime is 949420019. The next prime is 949420033. The reversal of 949420032 is 230024949.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 949419975 and 949420002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949420033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162469 + ... + 2162907.

Almost surely, 2949420032 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 949420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384109760).

949420032 is an abundant number, since it is smaller than the sum of its proper divisors (1818799488).

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

949420032 is an equidigital number, since it uses as much as digits as its factorization.

949420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 949420032 is about 30812.6602551614. The cubic root of 949420032 is about 982.8474840020.

The spelling of 949420032 in words is "nine hundred forty-nine million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 439 512 528 704 768 878 1024 1056 1317 1408 1536 1756 2048 2112 2634 2816 3072 3512 4096 4224 4829 5268 5632 6144 7024 8192 8448 9658 10536 11264 12288 14048 14487 16384 16896 19316 21072 22528 24576 28096 28974 32768 33792 38632 42144 45056 49152 56192 57948 65536 67584 77264 84288 90112 98304 112384 115896 135168 154528 168576 180224 196608 224768 231792 270336 309056 337152 360448 449536 463584 540672 618112 674304 720896 899072 927168 1081344 1236224 1348608 1798144 1854336 2162688 2472448 2697216 3596288 3708672 4944896 5394432 7192576 7417344 9889792 10788864 14385152 14834688 19779584 21577728 28770304 29669376 39559168 43155456 59338752 79118336 86310912 118677504 158236672 237355008 316473344 474710016 949420032