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4058197248 = 28372107839
BaseRepresentation
bin1111000111100011…
…0010110100000000
3101110211012210001210
43301320302310000
531302344302443
61510405130120
7202365051600
oct36170626400
911424183053
104058197248
1117a2823726
129530b9940
134c89b9c61
142a6d82c00
1518b41dc33
hexf1e32d00

4058197248 has 108 divisors (see below), whose sum is σ = 12564222720. Its totient is φ = 1159474176.

The previous prime is 4058197237. The next prime is 4058197357. The reversal of 4058197248 is 8427918504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4058197197 and 4058197206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16288 + ... + 91551.

Almost surely, 24058197248 is an apocalyptic number.

4058197248 is a gapful number since it is divisible by the number (48) 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 4058197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282111360).

4058197248 is an abundant number, since it is smaller than the sum of its proper divisors (8506025472).

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

4058197248 is a wasteful number, since it uses less digits than its factorization.

4058197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107872 (or 107851 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 4058197248 is about 63703.9814140372. The cubic root of 4058197248 is about 1595.0625458058.

The spelling of 4058197248 in words is "four billion, fifty-eight million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 107839 215678 323517 431356 647034 754873 862712 1294068 1509746 1725424 2264619 2588136 3019492 3450848 4529238 5176272 5284111 6038984 6901696 9058476 10352544 10568222 12077968 13803392 15852333 18116952 20705088 21136444 24155936 27606784 31704666 36233904 41410176 42272888 48311872 63409332 72467808 82820352 84545776 96623744 126818664 144935616 169091552 193247488 253637328 289871232 338183104 507274656 579742464 676366208 1014549312 1352732416 2029098624 4058197248