Search a number
-
+
1542051632 = 241167251521
BaseRepresentation
bin101101111101001…
…1101011100110000
310222110122100011102
41123322131130300
511124231123012
6413003303532
753133136232
oct13372353460
93873570142
101542051632
117214a2240
1237051aba8
131b76268b4
14108b2c252
15905a42c2
hex5be9d730

1542051632 has 80 divisors (see below), whose sum is σ = 3327537024. Its totient is φ = 686400000.

The previous prime is 1542051619. The next prime is 1542051703. The reversal of 1542051632 is 2361502451.

It is a junction number, because it is equal to n+sod(n) for n = 1542051595 and 1542051604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2959532 + ... + 2960052.

Almost surely, 21542051632 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 1542051632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663768512).

1542051632 is an abundant number, since it is smaller than the sum of its proper divisors (1785485392).

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

1542051632 is a wasteful number, since it uses less digits than its factorization.

1542051632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1542051632 is about 39268.9652524739. The cubic root of 1542051632 is about 1155.3129420694.

The spelling of 1542051632 in words is "one billion, five hundred forty-two million, fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 251 268 502 521 536 737 1004 1042 1072 1474 2008 2084 2761 2948 4016 4168 5522 5731 5896 8336 11044 11462 11792 16817 22088 22924 33634 34907 44176 45848 67268 69814 91696 130771 134536 139628 184987 261542 269072 279256 369974 383977 523084 558512 739948 767954 1046168 1438481 1479896 1535908 2092336 2876962 2959792 3071816 5753924 6143632 8761657 11507848 17523314 23015696 35046628 70093256 96378227 140186512 192756454 385512908 771025816 1542051632