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2053448832 = 27323435407
BaseRepresentation
bin111101001100101…
…0010010010000000
312022002221000020110
41322121102102000
513201140330312
6535432311320
7101613012201
oct17231222200
95262830213
102053448832
11964133556
12493842540
1326956c4a6
14156a0d5a8
15c041e43c
hex7a652480

2053448832 has 128 divisors (see below), whose sum is σ = 5825064960. Its totient is φ = 639378432.

The previous prime is 2053448827. The next prime is 2053448833. The reversal of 2053448832 is 2388443502.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2053448833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377073 + ... + 382479.

It is an arithmetic number, because the mean of its divisors is an integer number (45508320).

Almost surely, 22053448832 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 2053448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912532480).

2053448832 is an abundant number, since it is smaller than the sum of its proper divisors (3771616128).

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

2053448832 is a wasteful number, since it uses less digits than its factorization.

2053448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 2053448832 is about 45314.9956636873. The cubic root of 2053448832 is about 1271.0460788321.

The spelling of 2053448832 in words is "two billion, fifty-three million, four hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 128 129 138 172 184 192 258 276 344 368 384 516 552 688 736 989 1032 1104 1376 1472 1978 2064 2208 2752 2944 2967 3956 4128 4416 5407 5504 5934 7912 8256 8832 10814 11868 15824 16221 16512 21628 23736 31648 32442 43256 47472 63296 64884 86512 94944 124361 126592 129768 173024 189888 232501 248722 259536 346048 373083 379776 465002 497444 519072 692096 697503 746166 930004 994888 1038144 1395006 1492332 1860008 1989776 2076288 2790012 2984664 3720016 3979552 5347523 5580024 5969328 7440032 7959104 10695046 11160048 11938656 14880064 15918208 16042569 21390092 22320096 23877312 29760128 32085138 42780184 44640192 47754624 64170276 85560368 89280384 128340552 171120736 256681104 342241472 513362208 684482944 1026724416 2053448832