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2955132928 = 2141119863
BaseRepresentation
bin1011000000100011…
…1100000000000000
321121221121022021201
42300020330000000
522023003223203
61205122430544
7133142133616
oct26010740000
97557538251
102955132928
111287106120
126a5802454
13381305587
142006876b6
1512467ee1d
hexb023c000

2955132928 has 120 divisors (see below), whose sum is σ = 6794565120. Its totient is φ = 1271070720.

The previous prime is 2955132923. The next prime is 2955132931. The reversal of 2955132928 is 8292315592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955132923) 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, 3423825 + ... + 3424687.

It is an arithmetic number, because the mean of its divisors is an integer number (56621376).

Almost surely, 22955132928 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 2955132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397282560).

2955132928 is an abundant number, since it is smaller than the sum of its proper divisors (3839432192).

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

2955132928 is an equidigital number, since it uses as much as digits as its factorization.

2955132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 895 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The square root of 2955132928 is about 54361.1343516671. The cubic root of 2955132928 is about 1435.0234798086.

The spelling of 2955132928 in words is "two billion, nine hundred fifty-five million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 863 1024 1216 1408 1672 1726 2048 2432 2816 3344 3452 4096 4864 5632 6688 6904 8192 9493 9728 11264 13376 13808 16384 16397 18986 19456 22528 26752 27616 32794 37972 38912 45056 53504 55232 65588 75944 77824 90112 107008 110464 131176 151888 155648 180224 180367 214016 220928 262352 303776 311296 360734 428032 441856 524704 607552 721468 856064 883712 1049408 1215104 1442936 1712128 1767424 2098816 2430208 2885872 3424256 3534848 4197632 4860416 5771744 7069696 8395264 9720832 11543488 14139392 16790528 19441664 23086976 33581056 38883328 46173952 67162112 77766656 92347904 134324224 155533312 184695808 268648448 369391616 738783232 1477566464 2955132928