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103025648 = 24112331821
BaseRepresentation
bin1100010010000…
…00101111110000
321011212020121202
412021000233300
5202333310043
614120110332
72360463215
oct611005760
9234766552
10103025648
1153178770
122a6053a8
1318462a2b
14d97bb0c
1590a11b8
hex6240bf0

103025648 has 80 divisors (see below), whose sum is σ = 234842112. Its totient is φ = 43296000.

The previous prime is 103025621. The next prime is 103025651. The reversal of 103025648 is 846520301.

It is a super-2 number, since 2×1030256482 = 21228568291639808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103025648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125078 + ... + 125898.

Almost surely, 2103025648 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 103025648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117421056).

103025648 is an abundant number, since it is smaller than the sum of its proper divisors (131816464).

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

103025648 is a wasteful number, since it uses less digits than its factorization.

103025648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 103025648 is about 10150.1550727070. The cubic root of 103025648 is about 468.7937197029.

Adding to 103025648 its reverse (846520301), we get a palindrome (949545949).

The spelling of 103025648 in words is "one hundred three million, twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 124 176 184 248 253 341 368 496 506 682 713 821 1012 1364 1426 1642 2024 2728 2852 3284 4048 5456 5704 6568 7843 9031 11408 13136 15686 18062 18883 25451 31372 36124 37766 50902 62744 72248 75532 101804 125488 144496 151064 203608 207713 279961 302128 407216 415426 559922 585373 830852 1119844 1170746 1661704 2239688 2341492 3323408 4479376 4682984 6439103 9365968 12878206 25756412 51512824 103025648