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2675992900 = 2252727392
BaseRepresentation
bin1001111110000000…
…0110100101000100
320220111100112011011
42133200012211010
520440023233100
61121311452004
7123212364400
oct23740064504
96814315134
102675992900
11115358a089
12628227004
1333852c469
141b5584100
15109de1bba
hex9f806944

2675992900 has 81 divisors (see below), whose sum is σ = 6764123709. Its totient is φ = 916241760.

The previous prime is 2675992877. The next prime is 2675992919. The reversal of 2675992900 is 92995762.

The square root of 2675992900 is 51730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 963357444 + 1712635456 = 31038^2 + 41384^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 3620731 + ... + 3621469.

Almost surely, 22675992900 is an apocalyptic number.

2675992900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2675992900 is the 51730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675992900

2675992900 is an abundant number, since it is smaller than the sum of its proper divisors (4088130809).

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

2675992900 is an equidigital number, since it uses as much as digits as its factorization.

2675992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The cubic root of 2675992900 is about 1388.3372799988.

Multiplying 2675992900 by its sum of digits (49), we get a square (131123652100 = 3621102).

2675992900 divided by its sum of digits (49) gives a square (54612100 = 73902).

The spelling of 2675992900 in words is "two billion, six hundred seventy-five million, nine hundred ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 739 980 1225 1478 2450 2956 3695 4900 5173 7390 10346 14780 18475 20692 25865 36211 36950 51730 72422 73900 103460 129325 144844 181055 258650 362110 517300 546121 724220 905275 1092242 1810550 2184484 2730605 3621100 3822847 5461210 7645694 10922420 13653025 15291388 19114235 26759929 27306050 38228470 53519858 54612100 76456940 95571175 107039716 133799645 191142350 267599290 382284700 535198580 668998225 1337996450 2675992900