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2038995540 = 2232523492511
BaseRepresentation
bin111100110001000…
…1001101001010100
312021002201201001100
41321202021221110
513133440324130
6534154430100
7101346114261
oct17142115124
95232651040
102038995540
11956a6158a
1248aa32330
1326657b94a
14154b2a268
15be016c60
hex79889a54

2038995540 has 72 divisors (see below), whose sum is σ = 6453877248. Its totient is φ = 520090560.

The previous prime is 2038995533. The next prime is 2038995547. The reversal of 2038995540 is 455998302.

2038995540 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 99 + 554 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2038995533) and next prime (2038995547).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038995547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242116 + ... + 250395.

It is an arithmetic number, because the mean of its divisors is an integer number (89637184).

Almost surely, 22038995540 is an apocalyptic number.

2038995540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038995540 is an abundant number, since it is smaller than the sum of its proper divisors (4414881708).

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

2038995540 is a wasteful number, since it uses less digits than its factorization.

2038995540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492549 (or 492544 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2038995540 is about 45155.2382343400. The cubic root of 2038995540 is about 1268.0569497786.

It can be divided in two parts, 2038 and 995540, that added together give a triangular number (997578 = T1412).

The spelling of 2038995540 in words is "two billion, thirty-eight million, nine hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 492511 985022 1477533 1970044 2462555 2955066 4432599 4925110 5910132 7387665 8865198 9850220 11327753 14775330 17730396 22162995 22655506 29550660 33983259 44325990 45311012 56638765 67966518 88651980 101949777 113277530 135933036 169916295 203899554 226555060 339832590 407799108 509748885 679665180 1019497770 2038995540