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942630048 = 2535241503
BaseRepresentation
bin111000001011110…
…110010010100000
32102200201120100000
4320023312102200
53412303130143
6233311500000
732234136363
oct7013662240
92380646300
10942630048
114440a99a8
12223827600
131203a1379
148d2960da
1557b4cbd3
hex382f64a0

942630048 has 144 divisors (see below), whose sum is σ = 2796970176. Its totient is φ = 312284160.

The previous prime is 942630043. The next prime is 942630049. The reversal of 942630048 is 840036249.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 942629994 and 942630021.

It is not an unprimeable number, because it can be changed into a prime (942630043) 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, 1873765 + ... + 1874267.

It is an arithmetic number, because the mean of its divisors is an integer number (19423404).

Almost surely, 2942630048 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 942630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398485088).

942630048 is an abundant number, since it is smaller than the sum of its proper divisors (1854340128).

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

942630048 is a wasteful number, since it uses less digits than its factorization.

942630048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 942630048 is about 30702.2808273262. The cubic root of 942630048 is about 980.4988602745.

The spelling of 942630048 in words is "nine hundred forty-two million, six hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 241 243 288 324 432 482 486 503 648 723 864 964 972 1006 1296 1446 1509 1928 1944 2012 2169 2592 2892 3018 3856 3888 4024 4338 4527 5784 6036 6507 7712 7776 8048 8676 9054 11568 12072 13014 13581 16096 17352 18108 19521 23136 24144 26028 27162 34704 36216 39042 40743 48288 52056 54324 58563 69408 72432 78084 81486 104112 108648 117126 121223 122229 144864 156168 162972 208224 217296 234252 242446 244458 312336 325944 363669 434592 468504 484892 488916 624672 651888 727338 937008 969784 977832 1091007 1303776 1454676 1874016 1939568 1955664 2182014 2909352 3273021 3879136 3911328 4364028 5818704 6546042 8728056 9819063 11637408 13092084 17456112 19638126 26184168 29457189 34912224 39276252 52368336 58914378 78552504 104736672 117828756 157105008 235657512 314210016 471315024 942630048