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5477100400 = 2452231394283
BaseRepresentation
bin1010001100111010…
…11110101101110000
3112010201010112021101
411012131132231300
542204114203100
62303253134144
7252504404512
oct50635365560
915121115241
105477100400
112360753662
12108a32a354
13693956815
1439d5b5bb2
15220c9986a
hex14675eb70

5477100400 has 120 divisors (see below), whose sum is σ = 13832864640. Its totient is φ = 2080024320.

The previous prime is 5477100337. The next prime is 5477100413. The reversal of 5477100400 is 40017745.

It is a congruent number.

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, 1276659 + ... + 1280941.

It is an arithmetic number, because the mean of its divisors is an integer number (115273872).

Almost surely, 25477100400 is an apocalyptic number.

5477100400 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 5477100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916432320).

5477100400 is an abundant number, since it is smaller than the sum of its proper divisors (8355764240).

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

5477100400 is a wasteful number, since it uses less digits than its factorization.

5477100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 5477100400 is about 74007.4347616508. The cubic root of 5477100400 is about 1762.7209548116.

The spelling of 5477100400 in words is "five billion, four hundred seventy-seven million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 139 184 200 230 278 368 400 460 556 575 695 920 1112 1150 1390 1840 2224 2300 2780 3197 3475 4283 4600 5560 6394 6950 8566 9200 11120 12788 13900 15985 17132 21415 25576 27800 31970 34264 42830 51152 55600 63940 68528 79925 85660 98509 107075 127880 159850 171320 197018 214150 255760 319700 342640 394036 428300 492545 595337 639400 788072 856600 985090 1190674 1278800 1576144 1713200 1970180 2381348 2462725 2976685 3940360 4762696 4925450 5953370 7880720 9525392 9850900 11906740 13692751 14883425 19701800 23813480 27385502 29766850 39403600 47626960 54771004 59533700 68463755 109542008 119067400 136927510 219084016 238134800 273855020 342318775 547710040 684637550 1095420080 1369275100 2738550200 5477100400