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2009370276 = 22323122412
BaseRepresentation
bin111011111000100…
…1000111010100100
312012000222120211100
41313301020322210
513103344322101
6531215440100
7100536236244
oct16761107244
95160876740
102009370276
119412676a1
12480b26030
132603a83c4
14150c17b24
15bb613e86
hex77c48ea4

2009370276 has 81 divisors (see below), whose sum is σ = 5270241249. Its totient is φ = 645494400.

The previous prime is 2009370221. The next prime is 2009370277. The reversal of 2009370276 is 6720739002.

The square root of 2009370276 is 44826.

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

2009370276 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1511187876 + 498182400 = 38874^2 + 22320^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2009370276.

It is not an unprimeable number, because it can be changed into a prime (2009370277) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8337516 + ... + 8337756.

Almost surely, 22009370276 is an apocalyptic number.

2009370276 is the 44826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009370276

2009370276 is an abundant number, since it is smaller than the sum of its proper divisors (3260870973).

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

2009370276 is a wasteful number, since it uses less digits than its factorization.

2009370276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The cubic root of 2009370276 is about 1261.8856196509.

Multiplying 2009370276 by its sum of digits (36), we get a square (72337329936 = 2689562).

2009370276 divided by its sum of digits (36) gives a square (55815841 = 74712).

The spelling of 2009370276 in words is "two billion, nine million, three hundred seventy thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 241 279 372 482 558 723 961 964 1116 1446 1922 2169 2883 2892 3844 4338 5766 7471 8649 8676 11532 14942 17298 22413 29884 34596 44826 58081 67239 89652 116162 134478 174243 231601 232324 268956 348486 463202 522729 694803 696972 926404 1045458 1389606 1800511 2084409 2090916 2779212 3601022 4168818 5401533 7202044 8337636 10803066 16204599 21606132 32409198 55815841 64818396 111631682 167447523 223263364 334895046 502342569 669790092 1004685138 2009370276