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5429754 = 234112277
BaseRepresentation
bin10100101101100111111010
3101012212020000
4110231213322
52342223004
6312213430
764103121
oct24554772
911185200
105429754
113079500
12199a276
131181595
14a14ab8
15723c39
hex52d9fa

5429754 has 60 divisors (see below), whose sum is σ = 13421562. Its totient is φ = 1639440.

The previous prime is 5429741. The next prime is 5429759. The reversal of 5429754 is 4579245.

5429754 = 112 + 122 + ... + 2532.

It can be written as a sum of positive squares in only one way, i.e., 5184729 + 245025 = 2277^2 + 495^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 53 + 410 + 215 + 95 + 75 + 57 + 411 .

It is not an unprimeable number, because it can be changed into a prime (5429759) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19464 + ... + 19740.

Almost surely, 25429754 is an apocalyptic number.

5429754 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5429754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710781).

5429754 is an abundant number, since it is smaller than the sum of its proper divisors (7991808).

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

5429754 is a wasteful number, since it uses less digits than its factorization.

5429754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5429754 is about 2330.1832545961. The cubic root of 5429754 is about 175.7627010294.

It can be divided in two parts, 542 and 9754, that added together give a triangular number (10296 = T143).

The spelling of 5429754 in words is "five million, four hundred twenty-nine thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 277 297 363 554 594 726 831 891 1089 1662 1782 2178 2493 3047 3267 4986 6094 6534 7479 9141 9801 14958 18282 19602 22437 27423 33517 44874 54846 67034 82269 100551 164538 201102 246807 301653 493614 603306 904959 1809918 2714877 5429754