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3970009288 = 237293676661
BaseRepresentation
bin1110110010100001…
…1000100011001000
3101020200021100221001
43230220120203020
531112310244123
61453535024344
7200244344050
oct35450304310
911220240831
103970009288
111757a6a813
1292966b0b4
134b3650a2b
14299388560
151837ee0ad
hexeca188c8

3970009288 has 64 divisors (see below), whose sum is σ = 8825817600. Its totient is φ = 1638040320.

The previous prime is 3970009261. The next prime is 3970009319. The reversal of 3970009288 is 8829000793.

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 15 ways as a sum of consecutive naturals, for example, 592678 + ... + 599338.

It is an arithmetic number, because the mean of its divisors is an integer number (137903400).

Almost surely, 23970009288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970009288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412908800).

3970009288 is an abundant number, since it is smaller than the sum of its proper divisors (4855808312).

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

3970009288 is a wasteful number, since it uses less digits than its factorization.

3970009288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 3970009288 is about 63008.0097130516. The cubic root of 3970009288 is about 1583.4238213646.

The spelling of 3970009288 in words is "three billion, nine hundred seventy million, nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 367 406 734 812 1468 1624 2569 2936 5138 6661 10276 10643 13322 20552 21286 26644 42572 46627 53288 74501 85144 93254 149002 186508 193169 298004 373016 386338 596008 772676 1352183 1545352 2444587 2704366 4889174 5408732 9778348 10817464 17112109 19556696 34224218 68448436 70893023 136896872 141786046 283572092 496251161 567144184 992502322 1985004644 3970009288