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5266534400 = 2125251431
BaseRepresentation
bin1001110011110100…
…01111000000000000
3111121000220200000122
410321322033000000
541241213100100
62230332035412
7244336542461
oct47172170000
914530820018
105266534400
112262904276
12102b902b68
1365c14015a
1437d642d68
1520c554985
hex139e8f000

5266534400 has 78 divisors (see below), whose sum is σ = 13059664872. Its totient is φ = 2106572800.

The previous prime is 5266534391. The next prime is 5266534421. The reversal of 5266534400 is 44356625.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76685 + ... + 128115.

Almost surely, 25266534400 is an apocalyptic number.

5266534400 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 5266534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529832436).

5266534400 is an abundant number, since it is smaller than the sum of its proper divisors (7793130472).

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

5266534400 is an equidigital number, since it uses as much as digits as its factorization.

5266534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51465 (or 51438 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 5266534400 is about 72570.8922364883. The cubic root of 5266534400 is about 1739.8359822496.

The spelling of 5266534400 in words is "five billion, two hundred sixty-six million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 10240 12800 20480 25600 51200 51431 102400 102862 205724 257155 411448 514310 822896 1028620 1285775 1645792 2057240 2571550 3291584 4114480 5143100 6583168 8228960 10286200 13166336 16457920 20572400 26332672 32915840 41144800 52665344 65831680 82289600 105330688 131663360 164579200 210661376 263326720 329158400 526653440 658316800 1053306880 1316633600 2633267200 5266534400