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2452874070 = 2351731473301
BaseRepresentation
bin1001001000110011…
…1110001101010110
320022221111220122210
42102030332031112
520010413432240
61043221334250
7114533041233
oct22214761526
96287456583
102452874070
111049646659
12585567386
1330123c29a
14193aa478a
15e551c780
hex9233e356

2452874070 has 128 divisors (see below), whose sum is σ = 6573146112. Its totient is φ = 582912000.

The previous prime is 2452874059. The next prime is 2452874071. The reversal of 2452874070 is 704782542.

2452874070 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452874071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741420 + ... + 744720.

It is an arithmetic number, because the mean of its divisors is an integer number (51352704).

Almost surely, 22452874070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452874070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286573056).

2452874070 is an abundant number, since it is smaller than the sum of its proper divisors (4120272042).

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

2452874070 is a wasteful number, since it uses less digits than its factorization.

2452874070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406.

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 2452874070 is about 49526.4986648562. The cubic root of 2452874070 is about 1348.6266912453.

The spelling of 2452874070 in words is "two billion, four hundred fifty-two million, eight hundred seventy-four thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 47 51 62 85 93 94 102 141 155 170 186 235 255 282 310 465 470 510 527 705 799 930 1054 1410 1457 1581 1598 2397 2635 2914 3162 3301 3995 4371 4794 5270 6602 7285 7905 7990 8742 9903 11985 14570 15810 16505 19806 21855 23970 24769 33010 43710 49515 49538 56117 74307 99030 102331 112234 123845 148614 155147 168351 204662 247690 280585 306993 310294 336702 371535 465441 511655 561170 613986 743070 775735 841755 930882 1023310 1534965 1551470 1683510 1739627 2327205 2637499 3069930 3479254 4654410 4809557 5218881 5274998 7912497 8698135 9619114 10437762 13187495 14428671 15824994 17396270 24047785 26094405 26374990 28857342 39562485 48095570 52188810 72143355 79124970 81762469 144286710 163524938 245287407 408812345 490574814 817624690 1226437035 2452874070