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2413550040 = 2335115334499
BaseRepresentation
bin1000111111011011…
…1101100111011000
320020012112001020020
42033312331213120
514420332100130
61035254430440
7113544560016
oct21766754730
96205461206
102413550040
111029427960
12574362420
132c6051325
1418c7898b6
15e1d50e10
hex8fdbd9d8

2413550040 has 128 divisors (see below), whose sum is σ = 8048160000. Its totient is φ = 574046720.

The previous prime is 2413550003. The next prime is 2413550047. The reversal of 2413550040 is 400553142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413550047) 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, 52711 + ... + 87209.

It is an arithmetic number, because the mean of its divisors is an integer number (62876250).

Almost surely, 22413550040 is an apocalyptic number.

2413550040 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 2413550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024080000).

2413550040 is an abundant number, since it is smaller than the sum of its proper divisors (5634609960).

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

2413550040 is a wasteful number, since it uses less digits than its factorization.

2413550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34577 (or 34573 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2413550040 is about 49127.8947238735. The cubic root of 2413550040 is about 1341.3808517535.

The spelling of 2413550040 in words is "two billion, four hundred thirteen million, five hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 5830 6360 6996 8745 11660 13992 17490 23320 34499 34980 68998 69960 103497 137996 172495 206994 275992 344990 379489 413988 517485 689980 758978 827976 1034970 1138467 1379960 1517956 1828447 1897445 2069940 2276934 3035912 3656894 3794890 4139880 4553868 5485341 5692335 7313788 7589780 9107736 9142235 10970682 11384670 14627576 15179560 18284470 20112917 21941364 22769340 27426705 36568940 40225834 43882728 45538680 54853410 60338751 73137880 80451668 100564585 109706820 120677502 160903336 201129170 219413640 241355004 301693755 402258340 482710008 603387510 804516680 1206775020 2413550040