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4272477040 = 2451331891489
BaseRepresentation
bin1111111010101000…
…1101001101110000
3102000202102022200101
43332222031031300
532222223231130
61543542002144
7210606312166
oct37652151560
912022368611
104272477040
1118a277a267
129b2a16354
13531203b30
142c7601236
151a01491ca
hexfea8d370

4272477040 has 160 divisors (see below), whose sum is σ = 11174284800. Its totient is φ = 1508474880.

The previous prime is 4272477029. The next prime is 4272477089. The reversal of 4272477040 is 407742724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2868616 + ... + 2870104.

It is an arithmetic number, because the mean of its divisors is an integer number (69839280).

Almost surely, 24272477040 is an apocalyptic number.

4272477040 is a gapful number since it is divisible by the number (40) 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 4272477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587142400).

4272477040 is an abundant number, since it is smaller than the sum of its proper divisors (6901807760).

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

4272477040 is a wasteful number, since it uses less digits than its factorization.

4272477040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 37.

The square root of 4272477040 is about 65364.1877483382. The cubic root of 4272477040 is about 1622.6564453694.

The spelling of 4272477040 in words is "four billion, two hundred seventy-two million, four hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 89 104 124 130 155 178 208 248 260 310 356 403 445 496 520 620 712 806 890 1040 1157 1240 1424 1489 1612 1780 2015 2314 2480 2759 2978 3224 3560 4030 4628 5518 5785 5956 6448 7120 7445 8060 9256 11036 11570 11912 13795 14890 16120 18512 19357 22072 23140 23824 27590 29780 32240 35867 38714 44144 46159 46280 55180 59560 71734 77428 92318 92560 96785 110360 119120 132521 143468 154856 179335 184636 193570 220720 230795 265042 286936 309712 358670 369272 387140 461590 530084 573872 600067 662605 717340 738544 774280 923180 1060168 1200134 1325210 1434680 1548560 1722773 1846360 2120336 2400268 2650420 2869360 3000335 3445546 3692720 4108151 4800536 5300840 6000670 6891092 8216302 8613865 9601072 10601680 12001340 13782184 16432604 17227730 20540755 24002680 27564368 32865208 34455460 41081510 48005360 53405963 65730416 68910920 82163020 106811926 137821840 164326040 213623852 267029815 328652080 427247704 534059630 854495408 1068119260 2136238520 4272477040