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4026460480 = 265711531559
BaseRepresentation
bin1110111111111110…
…1110100101000000
3101101121111101101221
43233333232211000
531221233213410
61503313004424
7201531230560
oct35777564500
911347441357
104026460480
111786917399
12944553714
134c22575c3
142a2a80da0
151887504da
hexeffee940

4026460480 has 112 divisors (see below), whose sum is σ = 10974263040. Its totient is φ = 1378418688.

The previous prime is 4026460453. The next prime is 4026460499. The reversal of 4026460480 is 840646204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581941 + ... + 2583499.

Almost surely, 24026460480 is an apocalyptic number.

4026460480 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 4026460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487131520).

4026460480 is an abundant number, since it is smaller than the sum of its proper divisors (6947802560).

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

4026460480 is a wasteful number, since it uses less digits than its factorization.

4026460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 4026460480 is about 63454.3968531732. The cubic root of 4026460480 is about 1590.8936447609.

The spelling of 4026460480 in words is "four billion, twenty-six million, four hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1153 1559 2240 2306 3118 4612 5765 6236 7795 8071 9224 10913 11530 12472 15590 16142 18448 21826 23060 24944 31180 32284 36896 40355 43652 46120 49888 54565 62360 64568 73792 80710 87304 92240 99776 109130 124720 129136 161420 174608 184480 218260 249440 258272 322840 349216 368960 436520 498880 516544 645680 698432 873040 1291360 1746080 1797527 2582720 3492160 3595054 7190108 8987635 12582689 14380216 17975270 25165378 28760432 35950540 50330756 57520864 62913445 71901080 100661512 115041728 125826890 143802160 201323024 251653780 287604320 402646048 503307560 575208640 805292096 1006615120 2013230240 4026460480