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5423002400 = 255253791619
BaseRepresentation
bin1010000110011110…
…00111001100100000
3111222221100001202202
411003033013030200
542101242034100
62254041432332
7251246521424
oct50317071440
914887301682
105423002400
112333163a72
12107419b6a8
1368569507a
14396332b84
1521b1607d5
hex1433c7320

5423002400 has 144 divisors (see below), whose sum is σ = 13667875200. Its totient is φ = 2100034560.

The previous prime is 5423002331. The next prime is 5423002411. The reversal of 5423002400 is 42003245.

It is a super-4 number, since 4×54230024004 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3348791 + ... + 3350409.

It is an arithmetic number, because the mean of its divisors is an integer number (94915800).

Almost surely, 25423002400 is an apocalyptic number.

5423002400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5423002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833937600).

5423002400 is an abundant number, since it is smaller than the sum of its proper divisors (8244872800).

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

5423002400 is a wasteful number, since it uses less digits than its factorization.

5423002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 5423002400 is about 73641.0374723225. The cubic root of 5423002400 is about 1756.8982040109.

Adding to 5423002400 its reverse (42003245), we get a palindrome (5465005645).

The spelling of 5423002400 in words is "five billion, four hundred twenty-three million, two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 79 80 100 106 158 160 200 212 265 316 395 400 424 530 632 790 800 848 1060 1264 1325 1580 1619 1696 1975 2120 2528 2650 3160 3238 3950 4187 4240 5300 6320 6476 7900 8095 8374 8480 10600 12640 12952 15800 16190 16748 20935 21200 25904 31600 32380 33496 40475 41870 42400 51808 63200 64760 66992 80950 83740 85807 104675 127901 129520 133984 161900 167480 171614 209350 255802 259040 323800 334960 343228 418700 429035 511604 639505 647600 669920 686456 837400 858070 1023208 1279010 1295200 1372912 1674800 1716140 2046416 2145175 2558020 2745824 3197525 3349600 3432280 4092832 4290350 5116040 6395050 6778753 6864560 8580700 10232080 12790100 13557506 13729120 17161400 20464160 25580200 27115012 33893765 34322800 51160400 54230024 67787530 68645600 102320800 108460048 135575060 169468825 216920096 271150120 338937650 542300240 677875300 1084600480 1355750600 2711501200 5423002400