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2938100472 = 2333471671733
BaseRepresentation
bin1010111100011111…
…1101101011111000
321120202112222011000
42233013331223320
522004123203342
61203313405000
7132544304406
oct25707755370
97522488130
102938100472
11127853240a
1269bb69760
1337a920ab8
141dc2d2476
15122e1844c
hexaf1fdaf8

2938100472 has 128 divisors (see below), whose sum is σ = 8389785600. Its totient is φ = 952239744.

The previous prime is 2938100471. The next prime is 2938100489. The reversal of 2938100472 is 2740018392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938100471) 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, 1694518 + ... + 1696250.

It is an arithmetic number, because the mean of its divisors is an integer number (65545200).

Almost surely, 22938100472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2938100472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194892800).

2938100472 is an abundant number, since it is smaller than the sum of its proper divisors (5451685128).

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

2938100472 is a wasteful number, since it uses less digits than its factorization.

2938100472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2938100472 is about 54204.2477302287. The cubic root of 2938100472 is about 1432.2611580637.

The spelling of 2938100472 in words is "two billion, nine hundred thirty-eight million, one hundred thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 167 188 216 282 334 376 423 501 564 668 846 1002 1128 1269 1336 1503 1692 1733 2004 2538 3006 3384 3466 4008 4509 5076 5199 6012 6932 7849 9018 10152 10398 12024 13864 15597 15698 18036 20796 23547 31194 31396 36072 41592 46791 47094 62388 62792 70641 81451 93582 94188 124776 141282 162902 187164 188376 211923 244353 282564 289411 325804 374328 423846 488706 565128 578822 651608 733059 847692 868233 977412 1157644 1466118 1695384 1736466 1954824 2199177 2315288 2604699 2932236 3472932 4398354 5209398 5864472 6945864 7814097 8796708 10418796 13602317 15628194 17593416 20837592 27204634 31256388 40806951 54409268 62512776 81613902 108818536 122420853 163227804 244841706 326455608 367262559 489683412 734525118 979366824 1469050236 2938100472