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5642260480 = 2125432149
BaseRepresentation
bin1010100000100111…
…00001000000000000
3112120012220112022101
411100103201000000
543023404313410
62331513120144
7256551265003
oct52023410000
915505815271
105642260480
1124359aa89a
1211156b9054
136bbc32b8c
143b74c953a
15230520d3a
hex1504e1000

5642260480 has 156 divisors (see below), whose sum is σ = 13955006700. Its totient is φ = 2189623296.

The previous prime is 5642260439. The next prime is 5642260487. The reversal of 5642260480 is 840622465.

It can be written as a sum of positive squares in 2 ways, for example, as 1279922176 + 4362338304 = 35776^2 + 66048^2 .

It is not an unprimeable number, because it can be changed into a prime (5642260487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37867446 + ... + 37867594.

Almost surely, 25642260480 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 5642260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977503350).

5642260480 is an abundant number, since it is smaller than the sum of its proper divisors (8312746220).

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

5642260480 is an equidigital number, since it uses as much as digits as its factorization.

5642260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 5642260480 is about 75114.9817280148. The cubic root of 5642260480 is about 1780.2638669549.

The spelling of 5642260480 in words is "five billion, six hundred forty-two million, two hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 149 160 172 215 256 298 320 344 430 512 596 640 688 745 860 1024 1192 1280 1376 1490 1720 1849 2048 2384 2560 2752 2980 3440 3698 4096 4768 5120 5504 5960 6407 6880 7396 9245 9536 10240 11008 11920 12814 13760 14792 18490 19072 20480 22016 23840 25628 27520 29584 32035 36980 38144 44032 47680 51256 55040 59168 64070 73960 76288 88064 95360 102512 110080 118336 128140 147920 152576 176128 190720 205024 220160 236672 256280 275501 295840 305152 381440 410048 440320 473344 512560 551002 591680 610304 762880 820096 880640 946688 1025120 1102004 1183360 1377505 1525760 1640192 1893376 2050240 2204008 2366720 2755010 3051520 3280384 3786752 4100480 4408016 4733440 5510020 6560768 7573504 8200960 8816032 9466880 11020040 13121536 16401920 17632064 18933760 22040080 26243072 32803840 35264128 37867520 44080160 65607680 70528256 88160320 131215360 141056512 176320640 282113024 352641280 564226048 705282560 1128452096 1410565120 2821130240 5642260480