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5997484900 = 22521119674283
BaseRepresentation
bin1011001010111101…
…00101101101100100
3120110222022210121101
411211132211231210
544240324004100
62431042525444
7301423531501
oct54536455544
916428283541
105997484900
1125a84731a0
1211b4666884
137476c8044
1440c7564a8
152517dc86a
hex1657a5b64

5997484900 has 144 divisors (see below), whose sum is σ = 15171528960. Its totient is φ = 2034806400.

The previous prime is 5997484897. The next prime is 5997484907. The reversal of 5997484900 is 94847995.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (5997484907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398159 + ... + 1402441.

It is an arithmetic number, because the mean of its divisors is an integer number (105357840).

Almost surely, 25997484900 is an apocalyptic number.

5997484900 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 5997484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585764480).

5997484900 is an abundant number, since it is smaller than the sum of its proper divisors (9174044060).

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

5997484900 is a wasteful number, since it uses less digits than its factorization.

5997484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 5997484900 is about 77443.4303217516. The cubic root of 5997484900 is about 1816.8666551243.

The spelling of 5997484900 in words is "five billion, nine hundred ninety-seven million, four hundred eighty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 67 76 95 100 110 134 190 209 220 268 275 335 380 418 475 550 670 737 836 950 1045 1100 1273 1340 1474 1675 1900 2090 2546 2948 3350 3685 4180 4283 5092 5225 6365 6700 7370 8566 10450 12730 14003 14740 17132 18425 20900 21415 25460 28006 31825 36850 42830 47113 56012 63650 70015 73700 81377 85660 94226 107075 127300 140030 162754 188452 214150 235565 280060 286961 325508 350075 406885 428300 471130 573922 700150 813770 895147 942260 1147844 1177825 1400300 1434805 1627540 1790294 2034425 2355650 2869610 3156571 3580588 4068850 4475735 4711300 5452259 5739220 6313142 7174025 8137700 8951470 10904518 12626284 14348050 15782855 17902940 21809036 22378675 27261295 28696100 31565710 44757350 54522590 59974849 63131420 78914275 89514700 109045180 119949698 136306475 157828550 239899396 272612950 299874245 315657100 545225900 599748490 1199496980 1499371225 2998742450 5997484900