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3992311470 = 2357371134547
BaseRepresentation
bin1110110111110101…
…1101011010101110
3101022020020102202210
43231331131122232
531134012431340
61500053031250
7200635042020
oct35575353256
911266212683
103992311470
111769612774
12935025526
134b815bca4
1429c312010
15185757180
hexedf5d6ae

3992311470 has 128 divisors (see below), whose sum is σ = 11348315136. Its totient is φ = 879814656.

The previous prime is 3992311451. The next prime is 3992311487. The reversal of 3992311470 is 741132993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875737 + ... + 880283.

It is an arithmetic number, because the mean of its divisors is an integer number (88658712).

Almost surely, 23992311470 is an apocalyptic number.

3992311470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992311470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674157568).

3992311470 is an abundant number, since it is smaller than the sum of its proper divisors (7356003666).

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

3992311470 is a wasteful number, since it uses less digits than its factorization.

3992311470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3992311470 is about 63184.7408002913. The cubic root of 3992311470 is about 1586.3833345760.

The spelling of 3992311470 in words is "three billion, nine hundred ninety-two million, three hundred eleven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 113 185 210 222 226 259 339 370 518 555 565 678 777 791 1110 1130 1295 1554 1582 1695 2373 2590 3390 3885 3955 4181 4547 4746 7770 7910 8362 9094 11865 12543 13641 20905 22735 23730 25086 27282 29267 31829 41810 45470 58534 62715 63658 68205 87801 95487 125430 136410 146335 159145 168239 175602 190974 292670 318290 336478 439005 477435 504717 513811 841195 878010 954870 1009434 1027622 1177673 1541433 1682390 2355346 2523585 2569055 3082866 3533019 3596677 5047170 5138110 5888365 7066038 7193354 7707165 10790031 11776730 15414330 17665095 17983385 19011007 21580062 35330190 35966770 38022014 53950155 57033021 95055035 107900310 114066042 133077049 190110070 266154098 285165105 399231147 570330210 665385245 798462294 1330770490 1996155735 3992311470