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2052464520 = 2335103211787
BaseRepresentation
bin111101001010110…
…0001111110001000
312022001002000000110
41322111201332020
513200412331040
6535355234320
7101601442401
oct17225417610
95261060013
102052464520
11963620a77
124934489a0
132692b6462
141568349a8
15c02c7980
hex7a561f88

2052464520 has 128 divisors (see below), whose sum is σ = 6254576640. Its totient is φ = 538755840.

The previous prime is 2052464509. The next prime is 2052464527. The reversal of 2052464520 is 254642502.

It is a happy number.

It is a super-2 number, since 2×20524645202 = 8425221211717660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2052464527) 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, 2607567 + ... + 2608353.

It is an arithmetic number, because the mean of its divisors is an integer number (48863880).

Almost surely, 22052464520 is an apocalyptic number.

2052464520 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 2052464520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127288320).

2052464520 is an abundant number, since it is smaller than the sum of its proper divisors (4202112120).

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

2052464520 is a wasteful number, since it uses less digits than its factorization.

2052464520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2052464520 is about 45304.1335862413. The cubic root of 2052464520 is about 1270.8429561886.

The spelling of 2052464520 in words is "two billion, fifty-two million, four hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 211 309 412 422 515 618 633 787 824 844 1030 1055 1236 1266 1545 1574 1688 2060 2110 2361 2472 2532 3090 3148 3165 3935 4120 4220 4722 5064 6180 6296 6330 7870 8440 9444 11805 12360 12660 15740 18888 21733 23610 25320 31480 43466 47220 65199 81061 86932 94440 108665 130398 162122 166057 173864 217330 243183 260796 324244 325995 332114 405305 434660 486366 498171 521592 648488 651990 664228 810610 830285 869320 972732 996342 1215915 1303980 1328456 1621220 1660570 1945464 1992684 2431830 2490855 2607960 3242440 3321140 3985368 4863660 4981710 6642280 9727320 9963420 17103871 19926840 34207742 51311613 68415484 85519355 102623226 136830968 171038710 205246452 256558065 342077420 410492904 513116130 684154840 1026232260 2052464520