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5371940448 = 2532711323581
BaseRepresentation
bin1010000000011000…
…10100111001100000
3111212101020211221100
411000030110321200
542000204043243
62245015154400
7250056511650
oct50014247140
914771224840
105371940448
112307358406
12105b075a00
13677c274b4
1438d640360
152169260d3
hex140314e60

5371940448 has 144 divisors (see below), whose sum is σ = 17614056096. Its totient is φ = 1521192960.

The previous prime is 5371940447. The next prime is 5371940489. The reversal of 5371940448 is 8440491735.

5371940448 is a `hidden beast` number, since 53 + 71 + 94 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5371940447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216018 + ... + 239598.

It is an arithmetic number, because the mean of its divisors is an integer number (122319834).

Almost surely, 25371940448 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 5371940448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807028048).

5371940448 is an abundant number, since it is smaller than the sum of its proper divisors (12242115648).

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

5371940448 is a wasteful number, since it uses less digits than its factorization.

5371940448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23717 (or 23706 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5371940448 is about 73293.5225514506. The cubic root of 5371940448 is about 1751.3666003337.

The spelling of 5371940448 in words is "five billion, three hundred seventy-one million, nine hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 113 126 144 168 224 226 252 288 336 339 452 504 672 678 791 904 1008 1017 1356 1582 1808 2016 2034 2373 2712 3164 3616 4068 4746 5424 6328 7119 8136 9492 10848 12656 14238 16272 18984 23581 25312 28476 32544 37968 47162 56952 70743 75936 94324 113904 141486 165067 188648 212229 227808 282972 330134 377296 424458 495201 565944 660268 754592 848916 990402 1131888 1320536 1485603 1697832 1980804 2263776 2641072 2664653 2971206 3395664 3961608 5282144 5329306 5942412 6791328 7923216 7993959 10658612 11884824 15846432 15987918 18652571 21317224 23769648 23981877 31975836 37305142 42634448 47539296 47963754 55957713 63951672 74610284 85268896 95927508 111915426 127903344 149220568 167873139 191855016 223830852 255806688 298441136 335746278 383710032 447661704 596882272 671492556 767420064 895323408 1342985112 1790646816 2685970224 5371940448