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2639421400 = 2352711215581
BaseRepresentation
bin1001110101010010…
…0101111111011000
320210221112111111011
42131110211333120
520401142441100
61113523543304
7122256466060
oct23524457730
96727474434
102639421400
111134980400
12617b2ab34
13330a96315
141b07843a0
15106ababba
hex9d525fd8

2639421400 has 144 divisors (see below), whose sum is σ = 7709350320. Its totient is φ = 822624000.

The previous prime is 2639421353. The next prime is 2639421431. The reversal of 2639421400 is 41249362.

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 35 ways as a sum of consecutive naturals, for example, 161610 + ... + 177190.

It is an arithmetic number, because the mean of its divisors is an integer number (53537155).

Almost surely, 22639421400 is an apocalyptic number.

2639421400 is a gapful number since it is divisible by the number (20) 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 2639421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854675160).

2639421400 is an abundant number, since it is smaller than the sum of its proper divisors (5069928920).

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

2639421400 is a wasteful number, since it uses less digits than its factorization.

2639421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15626 (or 15606 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2639421400 is about 51375.2995125089. The cubic root of 2639421400 is about 1381.9836696634.

The spelling of 2639421400 in words is "two billion, six hundred thirty-nine million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 140 154 175 200 220 242 275 280 308 350 385 440 484 550 605 616 700 770 847 968 1100 1210 1400 1540 1694 1925 2200 2420 3025 3080 3388 3850 4235 4840 6050 6776 7700 8470 12100 15400 15581 16940 21175 24200 31162 33880 42350 62324 77905 84700 109067 124648 155810 169400 171391 218134 311620 342782 389525 436268 545335 623240 685564 779050 856955 872536 1090670 1199737 1371128 1558100 1713910 1885301 2181340 2399474 2726675 3116200 3427820 3770602 4284775 4362680 4798948 5453350 5998685 6855640 7541204 8569550 9426505 9597896 10906700 11997370 13197107 15082408 17139100 18853010 21813400 23994740 26394214 29993425 34278200 37706020 47132525 47989480 52788428 59986850 65985535 75412040 94265050 105576856 119973700 131971070 188530100 239947400 263942140 329927675 377060200 527884280 659855350 1319710700 2639421400