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1041929028 = 22337371932
BaseRepresentation
bin111110000110101…
…001001101000100
32200121120110221000
4332012221031010
54113213212103
6251220053300
734551151650
oct7606511504
92617513830
101041929028
11495161778
12250b34230
13137b2aa6a
149c543a60
1561714aa3
hex3e1a9344

1041929028 has 144 divisors (see below), whose sum is σ = 3187148160. Its totient is φ = 288147456.

The previous prime is 1041928999. The next prime is 1041929039. The reversal of 1041929028 is 8209291401.

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

It is a junction number, because it is equal to n+sod(n) for n = 1041928983 and 1041929001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5398500 + ... + 5398692.

Almost surely, 21041929028 is an apocalyptic number.

1041929028 is a gapful number since it is divisible by the number (18) 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 1041929028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593574080).

1041929028 is an abundant number, since it is smaller than the sum of its proper divisors (2145219132).

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

1041929028 is a wasteful number, since it uses less digits than its factorization.

1041929028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1041929028 is about 32278.9254467989. The cubic root of 1041929028 is about 1013.7854312981.

The spelling of 1041929028 in words is "one billion, forty-one million, nine hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 193 222 252 259 333 378 386 444 518 579 666 756 772 777 999 1036 1158 1332 1351 1554 1737 1998 2316 2331 2702 3108 3474 3996 4053 4662 5211 5404 6948 6993 7141 8106 9324 10422 12159 13986 14282 16212 20844 21423 24318 27972 28564 36477 37249 42846 48636 49987 64269 72954 74498 85692 99974 111747 128538 145908 148996 149961 192807 199948 223494 257076 260743 299922 335241 385614 446988 449883 521486 599844 670482 771228 782229 899766 1005723 1042972 1340964 1349649 1378213 1564458 1799532 2011446 2346687 2699298 2756426 3128916 4022892 4134639 4693374 5398596 5512852 7040061 8269278 9386748 9647491 12403917 14080122 16538556 19294982 24807834 28160244 28942473 37211751 38589964 49615668 57884946 74423502 86827419 115769892 148847004 173654838 260482257 347309676 520964514 1041929028