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4555248240 = 2435531572281
BaseRepresentation
bin1000011111000001…
…11001001001110000
3102202110111120211210
410033200321021300
533312120420430
62032002440120
7220611654054
oct41740711160
912673446753
104555248240
111a28356474
12a71663040
1357797b97a
14312dabc64
151b9da32b0
hex10f839270

4555248240 has 160 divisors (see below), whose sum is σ = 14485697856. Its totient is φ = 1183703040.

The previous prime is 4555248239. The next prime is 4555248241. The reversal of 4555248240 is 428425554.

It is an interprime number because it is at equal distance from previous prime (4555248239) and next prime (4555248241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4555248241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995900 + ... + 1998180.

Almost surely, 24555248240 is an apocalyptic number.

4555248240 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 4555248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242848928).

4555248240 is an abundant number, since it is smaller than the sum of its proper divisors (9930449616).

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

4555248240 is a wasteful number, since it uses less digits than its factorization.

4555248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

The square root of 4555248240 is about 67492.5791476367. The cubic root of 4555248240 is about 1657.6926670335.

The spelling of 4555248240 in words is "four billion, five hundred fifty-five million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 157 159 212 240 265 314 318 424 471 530 628 636 785 795 848 942 1060 1256 1272 1570 1590 1884 2120 2281 2355 2512 2544 3140 3180 3768 4240 4562 4710 6280 6360 6843 7536 8321 9124 9420 11405 12560 12720 13686 16642 18248 18840 22810 24963 27372 33284 34215 36496 37680 41605 45620 49926 54744 66568 68430 83210 91240 99852 109488 120893 124815 133136 136860 166420 182480 199704 241786 249630 273720 332840 358117 362679 399408 483572 499260 547440 604465 665680 716234 725358 967144 998520 1074351 1208930 1432468 1450716 1790585 1813395 1934288 1997040 2148702 2417860 2864936 2901432 3581170 3626790 4297404 4835720 5371755 5729872 5802864 7162340 7253580 8594808 9671440 10743510 14324680 14507160 17189616 18980201 21487020 28649360 29014320 37960402 42974040 56940603 75920804 85948080 94901005 113881206 151841608 189802010 227762412 284703015 303683216 379604020 455524824 569406030 759208040 911049648 1138812060 1518416080 2277624120 4555248240