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2047381504 = 212721012
BaseRepresentation
bin111101000001000…
…1001000000000000
312021200111202102121
41322002021000000
513143112202004
6535054254024
7101510312200
oct17202110000
95250452377
102047381504
1196076a033
124917b7314
1326822695c
14155cb0400
15beb21854
hex7a089000

2047381504 has 117 divisors (see below), whose sum is σ = 4810336761. Its totient is φ = 868761600.

The previous prime is 2047381481. The next prime is 2047381507. The reversal of 2047381504 is 4051837402.

The square root of 2047381504 is 45248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 80281600 = 44352^2 + 8960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2047381504.

It is not an unprimeable number, because it can be changed into a prime (2047381507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20271054 + ... + 20271154.

Almost surely, 22047381504 is an apocalyptic number.

2047381504 is the 45248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047381504

2047381504 is an abundant number, since it is smaller than the sum of its proper divisors (2762955257).

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

2047381504 is an frugal number, since it uses more digits than its factorization.

2047381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The cubic root of 2047381504 is about 1269.7929900053.

The spelling of 2047381504 in words is "two billion, forty-seven million, three hundred eighty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 128 196 202 224 256 392 404 448 512 707 784 808 896 1024 1414 1568 1616 1792 2048 2828 3136 3232 3584 4096 4949 5656 6272 6464 7168 9898 10201 11312 12544 12928 14336 19796 20402 22624 25088 25856 28672 39592 40804 45248 50176 51712 71407 79184 81608 90496 100352 103424 142814 158368 163216 180992 200704 206848 285628 316736 326432 361984 413696 499849 571256 633472 652864 723968 999698 1142512 1266944 1305728 1447936 1999396 2285024 2533888 2611456 2895872 3998792 4570048 5067776 5222912 7997584 9140096 10135552 10445824 15995168 18280192 20271104 20891648 31990336 36560384 41783296 63980672 73120768 127961344 146241536 255922688 292483072 511845376 1023690752 2047381504