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2380470752 = 251122412551
BaseRepresentation
bin1000110111100011…
…0001100111100000
320010220021102222102
42031320301213200
514333400031002
61032113425532
7112663444652
oct21570614740
96126242872
102380470752
111011793a00
1256526b2a8
132bc23b89a
141882186d2
15ddeb9a02
hex8de319e0

2380470752 has 72 divisors (see below), whose sum is σ = 5174736336. Its totient is φ = 1077120000.

The previous prime is 2380470737. The next prime is 2380470787. The reversal of 2380470752 is 2570740832.

It is a super-2 number, since 2×23804707522 = 11333282002254891008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931877 + ... + 934427.

It is an arithmetic number, because the mean of its divisors is an integer number (71871338).

Almost surely, 22380470752 is an apocalyptic number.

2380470752 is a gapful number since it is divisible by the number (22) 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 2380470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587368168).

2380470752 is an abundant number, since it is smaller than the sum of its proper divisors (2794265584).

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

2380470752 is a wasteful number, since it uses less digits than its factorization.

2380470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 2380470752 is about 48790.0681696593. The cubic root of 2380470752 is about 1335.2244713186.

The spelling of 2380470752 in words is "two billion, three hundred eighty million, four hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 241 242 352 482 484 964 968 1928 1936 2551 2651 3856 3872 5102 5302 7712 10204 10604 20408 21208 28061 29161 40816 42416 56122 58322 81632 84832 112244 116644 224488 233288 308671 448976 466576 614791 617342 897952 933152 1229582 1234684 2459164 2469368 4918328 4938736 6762701 9836656 9877472 13525402 19673312 27050804 54101608 74389711 108203216 148779422 216406432 297558844 595117688 1190235376 2380470752